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Hardy-Littlewood and Ulyanov Inequalities
| Hardy-Littlewood and Ulyanov Inequalities |
| Autore | Kolomoitsev Yurii |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (132 pages) |
| Disciplina | 515/.26 |
| Altri autori (Persone) | TikhonovSergey |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Inequalities (Mathematics)
Hardy-Littlewood method Smoothness of functions Approximations and expansions -- Approximations and expansions -- Multidimensional problems Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Multipliers Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems Real functions -- Functions of one variable -- Fractional derivatives and integrals Approximations and expansions -- Approximations and expansions -- Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities) Real functions -- Polynomials, rational functions -- Polynomials: analytic properties, etc Approximations and expansions -- Approximations and expansions -- Approximation by polynomials |
| ISBN |
9781470466282
1470466287 |
| Classificazione | 41A6342B1526D1046E3526A3341A1726C0541A10 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Auxiliary results -- Polynomial inequalities of Nikolʹskii-Stechkin-Boas-types -- Basic properties of fractional moduli of smoothness -- Hardy-Littlewood-Nikolʹskii inequalities for trigonometric polynomials -- General form of the Ulyanov inequality for moduli of smoothness, K-functionals, and their realizations -- Sharp Ulyanov inequalities for K-functionals and realizations -- Sharp Ulyanov inequalities for moduli of smoothness -- Sharp Ulyanov inequalities for realizations of K-functionals related to Riesz derivatives and corresponding moduli of smoothness -- Sharp Ulyanov inequality via Marchaud inequality -- Sharp Ulyanov and Kolyada inequalities in Hardy spaces -- (Lp, Lq) inequalities of Ulyanov-type involving derivatives -- Embedding theorems for function spaces. |
| Record Nr. | UNINA-9910953756803321 |
Kolomoitsev Yurii
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Inequalities : a journey into linear analysis / / D.J.H. Garling [[electronic resource]]
| Inequalities : a journey into linear analysis / / D.J.H. Garling [[electronic resource]] |
| Autore | Garling D. J. H. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2007 |
| Descrizione fisica | 1 online resource (ix, 335 pages) : digital, PDF file(s) |
| Disciplina | 515/.26 |
| Soggetto topico |
Inequalities (Mathematics)
Functional analysis |
| ISBN |
1-107-18249-2
0-511-64514-7 9786612389719 1-282-38971-8 0-511-64923-1 0-511-28868-9 0-511-57390-1 0-511-75521-X 0-511-28936-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half-title; Title; Copyright; Contents; Introduction; 1 Measure and integral; 2 The Cauchy--Schwarz inequality; 3 The arithmetic mean-geometric mean inequality; 4 Convexity, and Jensen's inequality; 5 The Lp spaces; 6 Banach function spaces; 7 Rearrangements; 8 Maximal inequalities; 9 Complex interpolation; 10 Real interpolation; 11 The Hilbert transform, and Hilbert's inequalities; 12 Khintchine's inequality; 13 Hypercontractive and logarithmic Sobolev inequalities; 14 Hadamard's inequality; 15 Hilbert space operator inequalities; 16 Summing operators
17 Approximation numbers and eigenvalues18 Grothendieck's inequality, type and cotype; References; Index of inequalities; Index |
| Record Nr. | UNINA-9910457837603321 |
|
Garling D. J. H.
|
||
| Cambridge : , : Cambridge University Press, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Inequalities : a journey into linear analysis / / D.J.H. Garling [[electronic resource]]
| Inequalities : a journey into linear analysis / / D.J.H. Garling [[electronic resource]] |
| Autore | Garling D. J. H. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2007 |
| Descrizione fisica | 1 online resource (ix, 335 pages) : digital, PDF file(s) |
| Disciplina | 515/.26 |
| Soggetto topico |
Inequalities (Mathematics)
Functional analysis |
| ISBN |
1-107-18249-2
0-511-64514-7 9786612389719 1-282-38971-8 0-511-64923-1 0-511-28868-9 0-511-57390-1 0-511-75521-X 0-511-28936-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Half-title; Title; Copyright; Contents; Introduction; 1 Measure and integral; 2 The Cauchy--Schwarz inequality; 3 The arithmetic mean-geometric mean inequality; 4 Convexity, and Jensen's inequality; 5 The Lp spaces; 6 Banach function spaces; 7 Rearrangements; 8 Maximal inequalities; 9 Complex interpolation; 10 Real interpolation; 11 The Hilbert transform, and Hilbert's inequalities; 12 Khintchine's inequality; 13 Hypercontractive and logarithmic Sobolev inequalities; 14 Hadamard's inequality; 15 Hilbert space operator inequalities; 16 Summing operators
17 Approximation numbers and eigenvalues18 Grothendieck's inequality, type and cotype; References; Index of inequalities; Index |
| Record Nr. | UNINA-9910784326203321 |
|
Garling D. J. H.
|
||
| Cambridge : , : Cambridge University Press, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiplicative inequalities of Carlson type and interpolation / / Leo Larsson, Lech Maligranda, Josip Pečarić, Lars-Erik Persson
| Multiplicative inequalities of Carlson type and interpolation / / Leo Larsson, Lech Maligranda, Josip Pečarić, Lars-Erik Persson |
| Autore | Larsson Leo <1972-> |
| Pubbl/distr/stampa | Singapore, : World Scientific, 2006 |
| Descrizione fisica | 1 online resource (217 p.) |
| Disciplina | 515/.26 |
| Altri autori (Persone) |
MaligrandaLech
PečarićJosip E PerssonLars Erik <1944-> |
| Soggetto topico |
Inequalities (Mathematics)
Interpolation Numerical analysis |
| ISBN |
1-281-91924-1
9786611919245 981-277-400-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; 0. Introduction and Notation ; 0.1 Notational Conventions ; 0.1.1 Indices and Exponents ; 0.1.2 Constants ; 0.1.3 Measure Spaces and Related Spaces ; 0.1.4 Interpolation Spaces ; 0.1.5 Linear Mappings Between Normed Spaces ; 0.1.6 Other
1. Carlson's Inequalities 1.1 Carlson's Proof ; 1.2 Hardy's Proofs ; 1.3 An Alternate Proof ; 1.4 Carlson's Inequality for Finite Sums ; 2. Some Extensions and Complements of Carlson's Inequalities ; 2.1 Gabriel ; 2.2 Levin ; 2.3 Caton ; 2.4 Bellman 2.5 Two Discrete Carlson By-products 2.6 Landau and Levin-Steckin ; 2.7 Some Extensions of the Landau and Levin-Steckin Inequalities ; 2.7.1 The Case p = 1 ; 2.7.2 General p ; 2.8 Proofs ; 2.9 Levin-Godunova ; 2.10 More About Finite Sums ; 3. The Continuous Case ; 3.1 Beurling 3.2 Kjellberg 3.3 Bellman ; 3.4 Sz. Nagy ; 3.5 Klefsjo ; 3.6 Hu ; 3.7 Yang-Fang ; 3.8 A Continuous Landau Type Inequality ; 3.9 Integrals on Bounded Intervals ; 4. Levin's Theorem ; 5. Some Multi-dimensional Generalizations and Variations ; 5.1 Some Preliminaries 5.2 A Sharp Inequality for Cones in Rn 5.3 Some Variations on the Multi-dimensional Theme ; 5.3.1 Kjellberg Revisited ; 5.3.2 Andrianov ; 5.3.3 Pigolkin ; 5.3.4 Bertolo-Fernandez ; 5.3.5 Barza et al ; 5.3.6 Kamaly ; 5.4 Some Further Generalizations 5.4.1 A Multi-dimensional Extension of Theorem 3.6 |
| Record Nr. | UNINA-9910784965403321 |
|
Larsson Leo <1972->
|
||
| Singapore, : World Scientific, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Multiplicative inequalities of Carlson type and interpolation [[electronic resource] /] / Leo Larsson ... [et al.]
| Multiplicative inequalities of Carlson type and interpolation [[electronic resource] /] / Leo Larsson ... [et al.] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (217 p.) |
| Disciplina | 515/.26 |
| Altri autori (Persone) | LarssonLeo <1972-> |
| Soggetto topico |
Inequalities (Mathematics)
Interpolation Numerical analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91924-1
9786611919245 981-277-400-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; 0. Introduction and Notation ; 0.1 Notational Conventions ; 0.1.1 Indices and Exponents ; 0.1.2 Constants ; 0.1.3 Measure Spaces and Related Spaces ; 0.1.4 Interpolation Spaces ; 0.1.5 Linear Mappings Between Normed Spaces ; 0.1.6 Other
1. Carlson's Inequalities 1.1 Carlson's Proof ; 1.2 Hardy's Proofs ; 1.3 An Alternate Proof ; 1.4 Carlson's Inequality for Finite Sums ; 2. Some Extensions and Complements of Carlson's Inequalities ; 2.1 Gabriel ; 2.2 Levin ; 2.3 Caton ; 2.4 Bellman 2.5 Two Discrete Carlson By-products 2.6 Landau and Levin-Steckin ; 2.7 Some Extensions of the Landau and Levin-Steckin Inequalities ; 2.7.1 The Case p = 1 ; 2.7.2 General p ; 2.8 Proofs ; 2.9 Levin-Godunova ; 2.10 More About Finite Sums ; 3. The Continuous Case ; 3.1 Beurling 3.2 Kjellberg 3.3 Bellman ; 3.4 Sz. Nagy ; 3.5 Klefsjo ; 3.6 Hu ; 3.7 Yang-Fang ; 3.8 A Continuous Landau Type Inequality ; 3.9 Integrals on Bounded Intervals ; 4. Levin's Theorem ; 5. Some Multi-dimensional Generalizations and Variations ; 5.1 Some Preliminaries 5.2 A Sharp Inequality for Cones in Rn 5.3 Some Variations on the Multi-dimensional Theme ; 5.3.1 Kjellberg Revisited ; 5.3.2 Andrianov ; 5.3.3 Pigolkin ; 5.3.4 Bertolo-Fernandez ; 5.3.5 Barza et al ; 5.3.6 Kamaly ; 5.4 Some Further Generalizations 5.4.1 A Multi-dimensional Extension of Theorem 3.6 |
| Record Nr. | UNINA-9910451110003321 |
| New Jersey, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||