Info
Approximation Theory and Analytic Inequalities
| Approximation Theory and Analytic Inequalities |
| Autore | Rassias Themistocles M |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing AG, , 2021 |
| Descrizione fisica | 1 online resource (544 pages) |
| Soggetto topico |
Teoria de l'aproximació
Desigualtats (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-60622-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466391703316 |
Rassias Themistocles M
|
||
| Cham : , : Springer International Publishing AG, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Approximation Theory and Analytic Inequalities / / edited by Themistocles M. Rassias
| Approximation Theory and Analytic Inequalities / / edited by Themistocles M. Rassias |
| Autore | Rassias Themistocles M |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021 |
| Descrizione fisica | 1 online resource (544 pages) |
| Disciplina | 519.6 |
| Soggetto topico |
Mathematical optimization
Approximation theory Difference equations Functional equations Optimization Approximations and Expansions Difference and Functional Equations Teoria de l'aproximació Desigualtats (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-60622-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Harmonic Hermite-Hadamard inequalities involving Mittag-Leffler function (Aslam Noor) -- Two dimensional Trapezium inequalities via pq-convex functions (Aslam Noor) -- New k-conformable fractional integral inequalities (Uzair Awan) -- On The Hyers-Ulam-Rassias Approximately Ternary Cubic Higher Derivations (Kenary) -- Hyers-Ulam stability for differential equations and partial differential equations via Gronwall Lemma (Mariana) -- On b-metric spaces and Brower and Schauder fixed point principles (Czerwik) -- Deterministic Prediction Theory (Daras) -- Accurate Approximations of the weighted exponential Beta function (Sever Dragomir) -- On the multiplicity of the zeros of polynomials with constrained coefficients (Erdelyi) -- Generalized barycentric coordinates and sharp strongly negative definite multidimensional numerical integration (Guessab) -- Further results on continuous random variables via fractional integrals (Agarwal) -- Nonunique fixed points on partial metric spaces via control functions (Karapınar) -- Some new refinement of Gauss-Jacobi and Hermite-Hadamard type integral inequalities (Kashuri) -- New trapezium type inequalities for preinvex functions via generalized fractional integral operators and their applications (Kashuri) -- New Trapezoid Type Inequalities for Generalized Exponentially Strongly Convex Functions (Jichang) -- Additive-quadratic ρ-functional equations in β-homogeneous normed spaces (Park) -- Stability of bi-additive s-functional inequalities and quasi-multipliers (Park) -- On the stability of some functional equations and s-functional inequalities (Najati) -- Stability of the Cosine-Sine functional equation on amenable groups (Elhoucien) -- Introduction to Halanay lemma, via weakly Picard operator theory (Petrusel) -- An inequality related to Möbius transformations (Suksumran) -- On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters (Rassias) -- Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior (Simsek) -- A general lower bound for the asymptotic convergence factor (Tsirivas) -- Inequalities for mean dual affine quermassintegrals (Cheung) -- A Reduced-Basis Polynomial-Chaos Approach with a Multi-Parametric Truncation Scheme for Problems with Uncertainties (Zygiridis). |
| Record Nr. | UNINA-9910495350403321 |
|
Rassias Themistocles M
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Equations and inequalities : plain text for non-mathematicians / / Guido Walz
| Equations and inequalities : plain text for non-mathematicians / / Guido Walz |
| Autore | Walz Guido |
| Pubbl/distr/stampa | Wiesbaden, Germany : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (56 pages) |
| Disciplina | 512.94 |
| Collana | Springer essentials |
| Soggetto topico |
Equacions
Solucions numèriques Desigualtats (Matemàtica) Equations - Numerical solutions |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-658-32720-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- What You Can Find in This essential -- Introduction -- Contents -- 1 Equations -- 1.1 What Does an Equation Look Like Anyway? -- 1.2 What Can You Do with an Equation Without Changing Its Solution Set? -- 1.3 Linear Equations -- 1.4 Quadratic Equations -- 1.4.1 First Examples -- 1.4.2 The Midnight Formula -- 1.4.3 The p-q-Formula -- 1.4.4 Quadratic Equations Which Are Not Recognizable at First Glance -- 2 Inequalities -- 2.1 What Kind of Inequalities Are Meant Here? -- 2.2 What Can You Do With an Inequality Without Changing Its Solution Set? -- 2.3 Linear Inequalities -- 2.4 Linear Inequalities That Have Yet to be Sorted -- 2.5 Linear Inequalities That Are Not Immediately Obvious -- 2.6 Fraction Inequalities -- What You Learned From This essential -- References. |
| Record Nr. | UNISA-996466393703316 |
|
Walz Guido
|
||
| Wiesbaden, Germany : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Equations and inequalities : plain text for non-mathematicians / / Guido Walz
| Equations and inequalities : plain text for non-mathematicians / / Guido Walz |
| Autore | Walz Guido |
| Pubbl/distr/stampa | Wiesbaden, Germany : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (56 pages) |
| Disciplina | 512.94 |
| Collana | Springer essentials |
| Soggetto topico |
Equacions
Solucions numèriques Desigualtats (Matemàtica) Equations - Numerical solutions |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-658-32720-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- What You Can Find in This essential -- Introduction -- Contents -- 1 Equations -- 1.1 What Does an Equation Look Like Anyway? -- 1.2 What Can You Do with an Equation Without Changing Its Solution Set? -- 1.3 Linear Equations -- 1.4 Quadratic Equations -- 1.4.1 First Examples -- 1.4.2 The Midnight Formula -- 1.4.3 The p-q-Formula -- 1.4.4 Quadratic Equations Which Are Not Recognizable at First Glance -- 2 Inequalities -- 2.1 What Kind of Inequalities Are Meant Here? -- 2.2 What Can You Do With an Inequality Without Changing Its Solution Set? -- 2.3 Linear Inequalities -- 2.4 Linear Inequalities That Have Yet to be Sorted -- 2.5 Linear Inequalities That Are Not Immediately Obvious -- 2.6 Fraction Inequalities -- What You Learned From This essential -- References. |
| Record Nr. | UNINA-9910488716803321 |
|
Walz Guido
|
||
| Wiesbaden, Germany : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harnack inequalities and nonlinear operators : proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto / / Vincenzo Vespri [and four others] editors
| Harnack inequalities and nonlinear operators : proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto / / Vincenzo Vespri [and four others] editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (202 pages) |
| Disciplina | 515.26 |
| Collana | Springer INdAM Series |
| Soggetto topico |
Inequalities (Mathematics)
Nonlinear operators Desigualtats (Matemàtica) Operadors no lineals |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-73778-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466405603316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Lectures on Numerical Radius Inequalities [[electronic resource] /] / by Pintu Bhunia, Silvestru Sever Dragomir, Mohammad Sal Moslehian, Kallol Paul
| Lectures on Numerical Radius Inequalities [[electronic resource] /] / by Pintu Bhunia, Silvestru Sever Dragomir, Mohammad Sal Moslehian, Kallol Paul |
| Autore | Bhunia Pintu |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (216 pages) |
| Disciplina | 515.243 |
| Collana | Infosys Science Foundation Series in Mathematical Sciences |
| Soggetto topico |
Functional analysis
Operator theory Functional Analysis Operator Theory Desigualtats (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-13670-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Preliminaries -- Chapter 2. Fundamental numerical radius inequalities -- Chapter 3. Bounds of the numerical radius using Buzano’s inequality -- Chapter 4. p-numerical radius inequalities of an n-tuple of operators -- Chapter 5. Numerical radius inequalities of product of operators -- Chapter 6. Numerical radius of operator matrices and applications -- Chapter 7. Operator space numerical radius of 2 × 2 block matrices -- Chapter 8. A-numerical radius inequalities of semi-Hilbertian spaces -- Chapter 9. Research Problems. |
| Record Nr. | UNISA-996499869803316 |
|
Bhunia Pintu
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
New perspectives on the theory of inequalities for integral and sum / / Nazia Irshad [and three others]
| New perspectives on the theory of inequalities for integral and sum / / Nazia Irshad [and three others] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
| Descrizione fisica | 1 online resource (319 pages) |
| Disciplina | 515.243 |
| Soggetto topico |
Inequalities (Mathematics)
Inequalities (Mathematics) - Data processing Desigualtats (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-90563-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Notations and Terminologies -- 1 Linear Inequalities via Interpolation Polynomials and Green Functions -- 1.1 Linear Inequalities and the Extension of Montgomery Identity with New Green Functions -- 1.1.1 Results Obtained by the Extension of Montgomery Identity and New Green Functions -- 1.1.2 Inequalities for n-Convex Functions at a Point -- 1.1.3 Bounds for Remainders and Functionals -- 1.1.4 Mean Value Theorems -- 1.2 Linear Inequalities and the Taylor Formula with New Green Functions -- 1.2.1 Results Obtained by the Taylor Formula and New Green Functions -- 1.2.2 Inequalities for n-Convex Functions at a Point -- 1.2.3 Bounds for Remainders and Functionals -- 1.2.4 Mean Value Theorems and Exponential Convexity -- Mean Value Theorems -- Logarithmically Convex Functions -- n-Exponentially Convex Functions -- 1.2.5 Examples with Applications -- 1.3 Linear Inequalities and Hermite Interpolation with New Green Functions -- 1.3.1 Results Obtained by the Hermite Interpolation Polynomial and Green Functions -- 1.3.2 Inequalities for n-Convex Functions at a Point -- 1.3.3 Bounds for Remainders and Functionals -- 1.4 Linear Inequalities and the Fink Identity with New Green Functions -- 1.4.1 Results Obtained by the Fink identity and New Green functions -- 1.4.2 Inequalities for n-Convex Functions at a Point -- 1.4.3 Bounds for Remainders and Functionals -- 1.5 Linear Inequalities and the Abel-Gontscharoff's Interpolation Polynomial -- 1.5.1 Results Obtained by the Abel-Gontscharoff's Interpolation -- 1.5.2 Results Obtained by the Abel-Gontscharoff's Interpolation Polynomial and Green Functions -- 1.5.3 Inequalities for n-Convex Functions at a Point -- 1.5.4 Bounds for Remainders and Functionals -- 2 Ostrowski Inequality -- 2.1 Generalized Ostrowski Type Inequalities with Parameter.
2.1.1 Ostrowski Type Inequality for Bounded Differentiable Functions -- 2.1.2 Ostrowski Type Inequalities for Bounded Below Only and Bounded Above Only Differentiable Functions -- 2.1.3 Applications to Numerical Integration -- 2.2 Generalized Ostrowski Type Inequalities for Functions of Lp Spaces and Bounded Variation -- 2.2.1 Ostrowski Type Inequality for Functions of Lp Spaces -- 2.2.2 Ostrowski Type Inequality for Functions of Bounded Variation -- 2.2.3 Applications to Numerical Integration -- 2.3 Generalized Weighted Ostrowski Type Inequality with Parameter -- 2.3.1 Weighted Ostrowski Type Inequality with Parameter -- 2.3.2 Applications to Numerical Integration -- 2.4 Generalized Weighted Ostrowski-Grüss Type Inequality with Parameter -- 2.4.1 Weighted Ostrowski-Grüss Type Inequality with Parameter by Using Korkine's Identity -- 2.4.2 Applications to Probability Theory -- 2.4.3 Applications to Numerical Integration -- 2.5 Generalized Fractional Ostrwoski Type Inequality with Parameter -- 2.5.1 Fractional Ostrowski Type Inequality Involving Parameter -- 2.6 Generalized Inequalities for Functions of Lp Spaces via Montgomery Identity with Parameters -- 2.6.1 Montgomery Identity for Functions of Two Variables involving Parameters -- 2.6.2 Generalized Ostrowski Type Inequality -- 2.6.3 Generalized Grüss Type Inequalities -- 3 Functions with Nondecreasing Increments -- 3.1 Functions with Nondecreasing Increments in Real Life -- 3.2 Relationship Among Functions with Nondecreasing Increments and Many Others -- 3.3 Functions with Nondecreasing Increments of Order 3 -- 3.3.1 On Levinson Type Inequalities -- 3.3.2 On Jensen-Mercer Type Inequalities -- 4 Popoviciu and Čebyšev-Popoviciu Type Identities and Inequalities -- 4.1 Linear Inequalities for Higher Order -Convex and Completely Monotonic Functions. 4.1.1 Discrete Identity for Two Dimensional Sequences -- 4.1.2 Discrete Identity and Inequality for Functions of Two Variables -- 4.1.3 Integral Identity and Inequality for Functions of One Variable -- 4.1.4 Integral Identity and Inequality for Functions of Two Variables -- 4.1.5 Mean Value Theorems and Exponential Convexity -- Mean Value Theorems -- Exponential Convexity -- Examples of Completely Monotonic and Exponentially Convex Functions -- 4.2 Generalized Čebyšev and Ky Fan Identities and Inequalities for -Convex Functions -- 4.2.1 Generalized Discrete Čebyšev Identity and Inequality -- 4.2.2 Generalized Integral Čebyšev Identity and Inequality -- 4.2.3 Generalized Integral Ky Fan Identity and Inequality -- 4.3 Weighted Montgomery Identities for Higher Order Differentiable Function of Two Variables and Related Inequalities -- 4.3.1 Montgomery Identities for Double Weighted Integrals of Higher Order Differentiable Functions -- Special Cases -- 4.3.2 Ostrowski Type Inequalities for Double Weighted Integrals of Higher Order Differentiable Functions -- 4.3.3 Grüss Type Inequalities for Double Weighted Integrals of Higher Order Differentiable Functions -- Bibliography -- Index. |
| Record Nr. | UNISA-996466556803316 |
| Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
New perspectives on the theory of inequalities for integral and sum / / Nazia Irshad [and three others]
| New perspectives on the theory of inequalities for integral and sum / / Nazia Irshad [and three others] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
| Descrizione fisica | 1 online resource (319 pages) |
| Disciplina | 515.243 |
| Soggetto topico |
Inequalities (Mathematics)
Inequalities (Mathematics) - Data processing Desigualtats (Matemàtica) |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-90563-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Notations and Terminologies -- 1 Linear Inequalities via Interpolation Polynomials and Green Functions -- 1.1 Linear Inequalities and the Extension of Montgomery Identity with New Green Functions -- 1.1.1 Results Obtained by the Extension of Montgomery Identity and New Green Functions -- 1.1.2 Inequalities for n-Convex Functions at a Point -- 1.1.3 Bounds for Remainders and Functionals -- 1.1.4 Mean Value Theorems -- 1.2 Linear Inequalities and the Taylor Formula with New Green Functions -- 1.2.1 Results Obtained by the Taylor Formula and New Green Functions -- 1.2.2 Inequalities for n-Convex Functions at a Point -- 1.2.3 Bounds for Remainders and Functionals -- 1.2.4 Mean Value Theorems and Exponential Convexity -- Mean Value Theorems -- Logarithmically Convex Functions -- n-Exponentially Convex Functions -- 1.2.5 Examples with Applications -- 1.3 Linear Inequalities and Hermite Interpolation with New Green Functions -- 1.3.1 Results Obtained by the Hermite Interpolation Polynomial and Green Functions -- 1.3.2 Inequalities for n-Convex Functions at a Point -- 1.3.3 Bounds for Remainders and Functionals -- 1.4 Linear Inequalities and the Fink Identity with New Green Functions -- 1.4.1 Results Obtained by the Fink identity and New Green functions -- 1.4.2 Inequalities for n-Convex Functions at a Point -- 1.4.3 Bounds for Remainders and Functionals -- 1.5 Linear Inequalities and the Abel-Gontscharoff's Interpolation Polynomial -- 1.5.1 Results Obtained by the Abel-Gontscharoff's Interpolation -- 1.5.2 Results Obtained by the Abel-Gontscharoff's Interpolation Polynomial and Green Functions -- 1.5.3 Inequalities for n-Convex Functions at a Point -- 1.5.4 Bounds for Remainders and Functionals -- 2 Ostrowski Inequality -- 2.1 Generalized Ostrowski Type Inequalities with Parameter.
2.1.1 Ostrowski Type Inequality for Bounded Differentiable Functions -- 2.1.2 Ostrowski Type Inequalities for Bounded Below Only and Bounded Above Only Differentiable Functions -- 2.1.3 Applications to Numerical Integration -- 2.2 Generalized Ostrowski Type Inequalities for Functions of Lp Spaces and Bounded Variation -- 2.2.1 Ostrowski Type Inequality for Functions of Lp Spaces -- 2.2.2 Ostrowski Type Inequality for Functions of Bounded Variation -- 2.2.3 Applications to Numerical Integration -- 2.3 Generalized Weighted Ostrowski Type Inequality with Parameter -- 2.3.1 Weighted Ostrowski Type Inequality with Parameter -- 2.3.2 Applications to Numerical Integration -- 2.4 Generalized Weighted Ostrowski-Grüss Type Inequality with Parameter -- 2.4.1 Weighted Ostrowski-Grüss Type Inequality with Parameter by Using Korkine's Identity -- 2.4.2 Applications to Probability Theory -- 2.4.3 Applications to Numerical Integration -- 2.5 Generalized Fractional Ostrwoski Type Inequality with Parameter -- 2.5.1 Fractional Ostrowski Type Inequality Involving Parameter -- 2.6 Generalized Inequalities for Functions of Lp Spaces via Montgomery Identity with Parameters -- 2.6.1 Montgomery Identity for Functions of Two Variables involving Parameters -- 2.6.2 Generalized Ostrowski Type Inequality -- 2.6.3 Generalized Grüss Type Inequalities -- 3 Functions with Nondecreasing Increments -- 3.1 Functions with Nondecreasing Increments in Real Life -- 3.2 Relationship Among Functions with Nondecreasing Increments and Many Others -- 3.3 Functions with Nondecreasing Increments of Order 3 -- 3.3.1 On Levinson Type Inequalities -- 3.3.2 On Jensen-Mercer Type Inequalities -- 4 Popoviciu and Čebyšev-Popoviciu Type Identities and Inequalities -- 4.1 Linear Inequalities for Higher Order -Convex and Completely Monotonic Functions. 4.1.1 Discrete Identity for Two Dimensional Sequences -- 4.1.2 Discrete Identity and Inequality for Functions of Two Variables -- 4.1.3 Integral Identity and Inequality for Functions of One Variable -- 4.1.4 Integral Identity and Inequality for Functions of Two Variables -- 4.1.5 Mean Value Theorems and Exponential Convexity -- Mean Value Theorems -- Exponential Convexity -- Examples of Completely Monotonic and Exponentially Convex Functions -- 4.2 Generalized Čebyšev and Ky Fan Identities and Inequalities for -Convex Functions -- 4.2.1 Generalized Discrete Čebyšev Identity and Inequality -- 4.2.2 Generalized Integral Čebyšev Identity and Inequality -- 4.2.3 Generalized Integral Ky Fan Identity and Inequality -- 4.3 Weighted Montgomery Identities for Higher Order Differentiable Function of Two Variables and Related Inequalities -- 4.3.1 Montgomery Identities for Double Weighted Integrals of Higher Order Differentiable Functions -- Special Cases -- 4.3.2 Ostrowski Type Inequalities for Double Weighted Integrals of Higher Order Differentiable Functions -- 4.3.3 Grüss Type Inequalities for Double Weighted Integrals of Higher Order Differentiable Functions -- Bibliography -- Index. |
| Record Nr. | UNINA-9910558484803321 |
| Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator and norm inequalities and related topics / / Richard M. Aron [and three others], editors
| Operator and norm inequalities and related topics / / Richard M. Aron [and three others], editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] |
| Descrizione fisica | 1 online resource (822 pages) |
| Disciplina | 515.724 |
| Collana | Trends in mathematics |
| Soggetto topico |
Operator theory
Inequalities (Mathematics) Desigualtats (Matemàtica) Teoria d'operadors |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-02104-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Part I: Matrix and Operator Inequalities -- Part II: Orthogonality and Inequalities -- Part III: Inequalities Related to Types of Operators -- Part IV: Inequalities in Various Banach Spaces -- Part V: Inequalities in Commutative and Noncommutative Probability Spaces -- Contents -- Part I Matrix and Operator Inequalities -- Log-majorization Type Inequalities -- 1 Introduction -- 2 Matrix Majorization -- 3 Trace and Determinantal Inequalities -- 4 Golden-Thompson Inequality and Araki's Log-majorization -- 5 Ando-Hiai Inequality -- 6 BLP and Matharu-Aujla Inequalities -- 7 Inequalities for Operator Connections -- 8 Ando and Visick's Inequalities for the Hadamard Product -- 9 Indefinite Inequalities -- References -- Ando-Hiai Inequality: Extensions and Applications -- 1 Introduction -- 2 Extensions -- 3 Applications -- 4 Concluding Remarks -- References -- Relative Operator Entropy -- 1 Introduction -- 2 Operator Means and Solidarities -- 3 Relative Operator Entropy -- 4 CPR Geometry -- 5 Tsallis Relative Entropy -- 6 Concluding Remarks -- References -- Matrix Inequalities and Characterizations of Operator Monotone Functions -- 1 Introduction -- 2 Matrix Inequalities and Characterizations of Operator Functions -- 2.1 Heinz Mean, Heron Mean, and Operator Monotone Functions -- 2.1.1 Scalar Inequality for Heinz Mean and Heron Mean -- 2.1.2 Matrix Inequalities and Operator Monotone Functions -- 2.2 Symmetric and Self-adjoint Means via Integral Representations -- 2.2.1 Symmetric Means -- 2.2.2 Self-adjoint Means -- 2.2.3 Kubo-Ando Condition -- 2.2.4 General Symmetric Means -- 2.3 Matrix Power Means and Operator Monotone Functions -- 2.3.1 Kubo-Ando Matrix Power Means and Characterizations -- 2.3.2 The Inverse Problem for Non-Kubo-Ando Matrix Power Means.
3 Powers-Størmer's Inequality and Characterizations of Operator Monotone Functions -- References -- Perspectives, Means and their Inequalities -- 1 Introduction -- 2 Perspectives for Invertible Operators -- 2.1 Homogeneity -- 2.2 Convexity -- 2.3 Monotonicity and Convergence -- 2.3.1 Monotonicity for One Direction -- 2.3.2 Monotonicity for Each Variable -- 3 An Extension of the Perspective Function -- 3.1 A Functional Calculus for Commuting Positive Operators -- 3.2 Pusz-Woronowicz Functional Calculus -- 3.2.1 The Commuting Pair (R,S) -- 3.2.2 Variational Expression -- 3.2.3 Pusz-Woronowicz Functional Calculus -- 3.2.4 Homogeneity, Upper Continuity and Convexity -- 3.2.5 Restricted Domain -- 4 Theory of Operator Means -- 4.1 Kubo-Ando's Axiomatization -- 4.2 Operator Means -- 4.2.1 Integral Representation -- 4.2.2 Geometric Mean -- 4.2.3 Mean of Projections -- 4.2.4 Transforms on OM+1 -- 4.2.5 Weight and Symmetricity -- 4.2.6 Power Means -- 4.2.7 Stolarsky Means -- 4.2.8 Means of Szabó Type -- 5 Operator Inequalities -- 5.1 Positive Maps -- 5.2 Power Monotonicity -- 5.2.1 Ando-Hiai Type Inequalities -- 5.3 Furuta Inequality -- 5.4 Chaotic Order -- 5.5 Notes and Remarks -- References -- Cauchy-Schwarz Operator and Norm Inequalities for Inner Product Type Transformers in Norm Ideals of Compact Operators, with Applications -- 1 Introduction -- 2 Cauchy-Schwarz Operator and Norm Inequalities for i.p.t. Transformers -- 3 Aczél-Bellman Type Norm Inequalities for i.p.t. Transformers -- 4 Norm Inequalities for Transformers Generated by Analytic Functions with Non-negative Taylor Coefficients -- 5 Grüss-Landau Type Norm Inequalities for i.p.t. Transformers -- 6 Norm Inequalities for Holomorphic Functions on Simply Connected Domains in the Complex Plane -- 7 Mean Value Norm Inequalities for Operator Monotone Functions and Heinz Inequalities, with Applications. 8 Laplace Transformers, Arithmetic-Geometric and Young Norm Inequalities -- 9 Applications to Refinements and Generalizations of Minkowski, Zhan and Heron Inequalities -- 10 Connections with Cauchy-Schwarz Inequalities for Hilbert Modules -- References -- Norm Estimations for the Moore-Penrose Inverse of the Weak Perturbation of Hilbert C*-Module Operators -- 1 Introduction -- 2 Some Basic Knowledge About the Moore-Penrose Inverse -- 3 Various Types of Perturbations -- 3.1 The Multiplicative Perturbation Case -- 3.2 The Stable Additive Perturbation and the Strong Perturbation -- 4 Representations for the Moore-Penrose Inverse -- 5 Norm Estimations for the Moore-Penrose Inverse -- References -- Part II Orthogonality and Inequalities -- Birkhoff-James Orthogonality: Characterizations, Preservers, and Orthogonality Graphs -- 1 Introduction -- 1.1 Roberts Orthogonality -- 1.2 Isosceles Orthogonality -- 1.3 Birkhoff-James Orthogonality -- 1.4 A Plethora of Orthogonalities -- 2 Properties of B-J Orthogonality -- 2.1 Gateaux Derivatives and Complex Case Related to Real Orthogonality -- 2.2 Symmetry, Additivity and Uniqueness of B-J Orthogonality -- 2.3 Mutual B-J Orthogonality -- 3 Examples of B-J Orthogonality -- 3.1 B-J Orthogonality in B(H) and Beyond -- 3.2 B-J Orthogonality in Commutative C*-Algebras and Function Spaces -- 3.3 B-J Orthogonality in General C*-Algebras and Hilbert C*-Modules -- 3.4 Strong B-J Orthogonality on Hilbert C*-Modules -- 4 Applications of B-J Orthogonality -- 5 Preservers of B-J Orthogonality -- 6 Graph Induced by B-J Orthogonality -- 6.1 Property Recognition -- 6.2 Isomorphism Problem -- References -- Approximate Birkhoff-James Orthogonality in Normed Linear Spaces and Related Topics -- 1 Introduction and Preliminaries -- 1.1 Orthogonality in Inner Product Spaces -- 1.2 Orthogonalities in Normed Spaces. 2 Approximate Birkhoff-James Orthogonality in Normed Linear Spaces -- 3 Applications and Generalizations-Review of Selected Results -- 3.1 Approximate Birkhoff-James Orthogonality in Operator Theory -- 3.2 Operators Approximately Preserving Orthogonality -- 3.3 Approximate Symmetry of the Birkhoff-James Orthogonality -- 3.4 Varia -- References -- Orthogonally Additive Operators on Vector Lattices -- 1 Introduction -- 2 Definition and Main Examples of OAOs -- 3 The Lateral Order and Related Notions -- 3.1 Basic Properties -- 3.2 Lateral Ideal and Lateral Bands -- 3.3 The Intersection Property -- 4 Extension of Orthogonally Additive Maps -- 5 The Order Structure on the Vector Lattice of OAOs -- 5.1 Order Calculus and Riesz-Kantorovich Types Formulas -- 5.2 The Boolean Algebra of Fragments of a Positive OAO -- 6 Compact Orthogonally Additive Operators -- 6.1 The Projection Band of C-Compact Orthogonally Additive Operators -- 6.2 Domination Problem for AM-Compact Abstract Uryson Operator -- 7 Partial Order Continuities of Orthogonally Additive Operators -- 8 Narrow OAOs and Representation of Regular Operators -- 8.1 Narrow Operators -- 8.2 Representation of Regular Operators -- 9 Banach Lattices of OAOs -- 9.1 Absolute and Uniform Norms of an Abstract Uryson Operator -- 9.2 Consistent Sets and Levels in a Vector Lattice -- 9.3 Linear Sections of Orthogonally Additive Operators -- 10 Open Problems -- 10.1 An Analytic Representation of OAOs -- 10.2 Disjointness Preserving OAOs -- 10.3 Compact OAOs -- 10.4 Order Projections -- 10.5 Partial Order Continuities of Orthogonally Additive Operators -- References -- Part III Inequalities Related to Types of Operators -- Normal Operators and their Generalizations -- 1 Introduction -- 2 Notations and Preliminary Results on Spectral Theory -- 3 Some Notions of Local Spectral Theory -- 4 Normal Type Operators. 5 Totally Hereditarily Normaloid Operators -- 6 Weyl Type Theorems for Analytically Quasi THN Operators -- References -- On Wold Type Decomposition for Closed Range Operators -- 1 Introduction -- 1.1 Beurling Theorems for Shift Operators -- 1.1.1 The Hardy Space -- 1.1.2 The Bergman Space -- 1.1.3 The Direchlet Space -- 1.1.4 More on Beurling's Theorem for Hilbert Spaces of Analytic Functions -- 1.2 Beurling's Type Theorem for Left Invertible Operators Close to Isometries -- 2 Regular Operators -- 2.1 Moore-Penrose Generalized Inverse -- 2.2 Some Basic Properties of Regular Operators -- 2.3 Restrictions of Regular Operators -- 3 Wold Type Decomposition for Regular Operators -- 3.1 The Main Results -- 3.2 Applications to Weighted Shifts -- 4 Wold-Type Decomposition for Bi-Regular Operators -- 4.1 First Properties -- 4.2 The Cauchy Dual of a Closed Range Operator -- 4.3 Extended Wold-Type Decomposition -- 5 Some Open Questions -- References -- (Asymmetric) Dual Truncated Toeplitz Operators -- 1 Motivation and Basic Notations -- 2 Restrictions of Multiplication Operators and Its Basic Properties -- 3 Basic Properties of ADTTO -- 4 Intertwining Property for ADTTO -- 5 Other Relations with ADTTO -- 6 A Characterization of ADTTO -- 7 A Brown-Halmos Type Theorem for DTTO -- References -- Boundedness of Toeplitz Operators in Bergman-Type Spaces -- 1 Introduction: The Spaces and Operators -- 2 Toeplitz Operators with Oscillating Symbols -- 3 Toeplitz Operators in Hv∞-Spaces: Introduction -- 4 Toeplitz Operators with Harmonic Symbols in Hv∞(D)-Spaces -- 5 General Result on Multipliers and Toeplitz Operators in Hv∞(D) with Radial Symbols -- 6 Supplementary Results on Toeplitz Operators with Radial Symbols -- References -- Part IV Inequalities in Various Banach Spaces -- Disjointness Preservers and Banach-Stone Theorems -- 1 Introduction. 2 Three Classical Theorems. |
| Record Nr. | UNISA-996485662203316 |
| Cham, Switzerland : , : Springer Nature Switzerland AG, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Sharp Inequalities for Ordered Random Variables in Statistics and Reliability : Volume I: Standard Order Statistics / / by Narayanaswamy Balakrishnan, Tomasz Rychlik
| Sharp Inequalities for Ordered Random Variables in Statistics and Reliability : Volume I: Standard Order Statistics / / by Narayanaswamy Balakrishnan, Tomasz Rychlik |
| Autore | Balakrishnan Narayanaswamy |
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 |
| Descrizione fisica | 1 online resource (681 pages) |
| Disciplina | 519.2 |
| Altri autori (Persone) | RychlikTomasz |
| Collana | Frontiers in Probability and the Statistical Sciences |
| Soggetto topico |
Statistics
Statistical Theory and Methods Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences Desigualtats (Matemàtica) Estadística d'ordre |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-61347-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Introduction and Notation -- Analytic Inequalities and Other Tools -- Deterministic Bounds -- General, Symmetric and Life IID Samples -- Sampling from Finite Populations -- IID Samples from Shape Restricted Families. |
| Record Nr. | UNINA-9910890179503321 |
|
Balakrishnan Narayanaswamy
|
||
| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
