Topics in approximation theory / Harold S. Shapiro |
Autore | Shapiro, Harold S. |
Pubbl/distr/stampa | Berlin [etc.] : Springer, 1971 |
Descrizione fisica | VIII, 275 p. ; 26 cm. |
Disciplina | 511.4 |
Collana | Lecture notes in mathematics |
Soggetto topico | Approssimazione (Matematica) |
ISBN | 3-540-05376-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNIBAS-000013662 |
Shapiro, Harold S.
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Berlin [etc.] : Springer, 1971 | ||
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Lo trovi qui: Univ. della Basilicata | ||
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Topics in approximation theory / / Harold S. Shapiro |
Autore | Shapiro Harold S. |
Edizione | [1st ed. 1971.] |
Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1971] |
Descrizione fisica | 1 online resource (X, 278 p.) |
Disciplina | 511.4 |
Collana | Lecture Notes in Mathematics |
Soggetto topico | Approximation theory |
ISBN | 3-540-36497-8 |
Classificazione | 41-01 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Best uniform approximation -- The interpolation formula and Gaussian quadrature -- Best approximation and extremal problems in other norms -- Applications of the Hahn-Banach theorem and dual extremal problems -- Approximation theory and extremal problems in Hilbert spaces -- Minimal extrapolation of Fourier transforms -- General aspects of "Degree of approximation" -- Approximation theory in homogeneous Banach spaces. |
Record Nr. | UNISA-996466607703316 |
Shapiro Harold S.
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Berlin ; ; Heidelberg : , : Springer-Verlag, , [1971] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Topics in approximation theory / Harold S. Shapiro |
Autore | Shapiro, Harold S. |
Pubbl/distr/stampa | Berlin : Springer-Verlag, 1971 |
Descrizione fisica | viii, 275 p. ; 26 cm |
Disciplina | 511.4 |
Collana | Lecture notes in mathematics, 0075-8434 ; 187 |
Soggetto topico | Approximation theory |
ISBN | 354005376X |
Classificazione |
AMS 41-02
AMS 41-XX |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001443019707536 |
Shapiro, Harold S.
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Berlin : Springer-Verlag, 1971 | ||
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Lo trovi qui: Univ. del Salento | ||
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Training Mathematik. . Band 2, Analysis / / Gert Heinrich, Thomas Severin |
Autore | Heinrich Gert |
Edizione | [Reprint 2015] |
Pubbl/distr/stampa | Berlin ; ; Boston : , : Oldenbourg Wissenschaftsverlag, , [2015] |
Descrizione fisica | 1 online resource (432 pages) |
Disciplina | 511.4 |
Collana | Training Mathematik |
Soggetto topico | Approximation theory |
ISBN | 3-486-79150-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Nota di contenuto | Frontmatter -- Vorwort -- Inhaltsverzeichnis 1 -- Kapitel 1. Beweismethoden -- Kapitel 2. Summen, Produkte, Folgen und Grenzwerte -- Kapitel 3. Funktionen -- Kapitel 4. Stetigkeit und Differenzierbarkeit von Funktionen -- Kapitel 5. Kurvendiskussion -- Kapitel 6. Integration -- Kapitel 7. Approximationsmethoden -- Index |
Record Nr. | UNINA-9910163159603321 |
Heinrich Gert
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Berlin ; ; Boston : , : Oldenbourg Wissenschaftsverlag, , [2015] | ||
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Lo trovi qui: Univ. Federico II | ||
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Vorlesung über Approximationstheorie / Helmut Werner |
Autore | Werner, Helmut |
Pubbl/distr/stampa | Berlin : Springer-Verlag, 1966 |
Descrizione fisica | 184 p. ; 28 cm |
Disciplina | 511.4 |
Collana | Lecture notes in mathematics, 0075-8434 ; 14 |
Soggetto topico | Numerical analysis |
ISBN | 9783540035978 |
Classificazione |
AMS 41-01
AMS 41-XX |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Record Nr. | UNISALENTO-991001480599707536 |
Werner, Helmut
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Berlin : Springer-Verlag, 1966 | ||
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Lo trovi qui: Univ. del Salento | ||
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Vorlesung über Approximationstheorie [e-book] : Universität Münster, Institut für Numerische und Instrumentelle Mathematik. Sommer-Semester 1964 / Helmut Werner |
Autore | Werner, Helmut |
Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1966 |
Descrizione fisica | 1 online resource (184, [12] p.) : ill |
Disciplina | 511.4 |
Collana | Lecture notes in mathematics, 0075-8434 ; 14 |
Soggetto topico | Numerical analysis |
ISBN | 9783540371694 |
Classificazione | AMS 41-01 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Record Nr. | UNISALENTO-991003408919707536 |
Werner, Helmut
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Berlin ; New York : Springer-Verlag, 1966 | ||
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Lo trovi qui: Univ. del Salento | ||
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Weighted approximation with varying weight / / Vilmos Totik |
Autore | Totik V. |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1994] |
Descrizione fisica | 1 online resource (VI, 118 p.) |
Disciplina | 511.4 |
Collana | Lecture Notes in Mathematics |
Soggetto topico | Approximation theory |
ISBN | 3-540-48323-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Freud weights -- Approximation with general weights -- Varying weights -- Applications. |
Record Nr. | UNISA-996466375003316 |
Totik V.
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Berlin ; ; Heidelberg : , : Springer-Verlag, , [1994] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Weighted polynomial approximation and numerical methods for integral equations / / Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangelo |
Autore | Junghanns Peter <1953-> |
Edizione | [1st edition 2021.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
Descrizione fisica | 1 online resource (X, 658 p. 5 illus., 3 illus. in color.) |
Disciplina | 511.4 |
Collana | Pathways in Mathematics |
Soggetto topico |
Approximation theory
Integral equations - Numerical solutions Teoria de l'aproximació |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-77497-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction -- 2 Basics from Linear and Nonlinear Functional Analysis -- 2.1 Linear Operators, Banach and Hilbert Spaces -- 2.2 Fundamental Principles -- 2.3 Compact Sets and Compact Operators -- 2.4 Function Spaces -- 2.4.1 Lp-Spaces -- 2.4.2 Spaces of Continuous Functions -- 2.4.3 Approximation Spaces and Unbounded Linear Operators -- 2.5 Fredholm Operators -- 2.6 Stability of Operator Sequences -- 2.7 Fixed Point Theorems and Newton's Method -- 3 Weighted Polynomial Approximation and Quadrature Rules on (-1,1) -- 3.1 Moduli of Smoothness, K-Functionals, and Best Approximation -- 3.1.1 Moduli of Smoothness and K-Functionals -- 3.1.2 Moduli of Smoothness and Best Weighted Approximation -- 3.1.3 Besov-Type Spaces -- 3.2 Polynomial Approximation with Doubling Weights on the Interval (-1,1) -- 3.2.1 Definitions -- 3.2.2 Polynomial Inequalities with Doubling Weights -- 3.2.3 Christoffel Functions with Respect to Doubling Weights -- 3.2.4 Convergence of Fourier Sums in Weighted Lp-Spaces -- 3.2.5 Lagrange Interpolation in Weighted Lp-Spaces -- 3.2.6 Hermite Interpolation -- 3.2.7 Hermite-Fejér Interpolation -- 3.2.8 Lagrange-Hermite Interpolation -- 3.3 Polynomial Approximation with Exponential Weights on the Interval (-1,1) -- 3.3.1 Polynomial Inequalities -- 3.3.2 K-Functionals and Moduli of Smoothness -- 3.3.3 Estimates for the Error of Best Weighted Polynomial Approximation -- 3.3.4 Fourier Sums in Weighted Lp-Spaces -- 3.3.5 Lagrange Interpolation in Weighted Lp-Spaces -- 3.3.6 Gaussian Quadrature Rules -- 4 Weighted Polynomial Approximation and Quadrature Rules on Unbounded Intervals -- 4.1 Polynomial Approximation with Generalized Freud Weights on the Real Line -- 4.1.1 The Case of Freud Weights -- 4.1.2 The Case of Generalized Freud Weights -- 4.1.3 Lagrange Interpolation in Weighted Lp-Spaces.
4.1.4 Gaussian Quadrature Rules -- 4.1.5 Fourier Sums in Weighted Lp-Spaces -- 4.2 Polynomial Approximation with Generalized Laguerre Weights on the Half Line -- 4.2.1 Polynomial Inequalities -- 4.2.2 Weighted Spaces of Functions -- 4.2.3 Estimates for the Error of Best Weighted Approximation -- 4.2.4 Fourier Sums in Weighted Lp-Spaces -- 4.2.5 Lagrange Interpolation in Weighted Lp-Spaces -- 4.3 Polynomial Approximation with Pollaczek-Laguerre Weights on the Half Line -- 4.3.1 Polynomial Inequalities -- 4.3.2 Weighted Spaces of Functions -- 4.3.3 Estimates for the Error of Best Weighted Polynomial Approximation -- 4.3.4 Gaussian Quadrature Rules -- 4.3.5 Lagrange Interpolation in L2w -- 4.3.6 Remarks on Numerical Realizations -- Computation of the Mhaskar-Rahmanov-Saff Numbers -- Numerical Construction of Quadrature Rules -- Numerical Examples -- Comparison with the Gaussian Rule Based on Laguerre Zeros -- 5 Mapping Properties of Some Classes of Integral Operators -- 5.1 Some Properties of the Jacobi Polynomials -- 5.2 Cauchy Singular Integral Operators -- 5.2.1 Weighted L2-Spaces -- 5.2.2 Weighted Spaces of Continuous Functions -- 5.2.3 On the Case of Variable Coefficients -- 5.2.4 Regularity Properties -- 5.3 Compact Integral Operators -- 5.4 Weakly Singular Integral Operators with Logarithmic Kernels -- 5.5 Singular Integro-Differential or Hypersingular Operators -- 5.6 Operators with Fixed Singularities of Mellin Type -- 5.7 A Note on the Invertibility of Singular Integral Operators with Cauchy and Mellin Kernels -- 5.8 Solvability of Nonlinear Cauchy Singular Integral Equations -- 5.8.1 Equations of the First Type -- 5.8.2 Equations of the Second Type -- 5.8.3 Equations of the Third Type -- 6 Numerical Methods for Fredholm Integral Equations -- 6.1 Collectively Compact Sequences of Integral Operators -- 6.2 The Classical Nyström Method. 6.2.1 The Case of Jacobi Weights -- 6.2.2 The Case of an Exponential Weight on (0,∞) -- 6.2.3 The Application of Truncated Quadrature Rules -- 6.3 The Nyström Method Based on Product Integration Formulas -- 6.3.1 The Case of Jacobi Weights -- 6.3.2 The Case of an Exponential Weight on (0,∞) -- 6.3.3 Application to Weakly Singular Integral Equations -- 6.4 Integral Equations with Logarithmic Kernels -- 6.4.1 The Well-posed Case -- 6.4.2 The Ill-posed Case -- 6.4.3 A Collocation-Quadrature Method -- 6.4.4 A Fast Algorithm -- 7 Collocation and Collocation-Quadrature Methods for Strongly Singular Integral Equations -- 7.1 Cauchy Singular Integral Equations on an Interval -- 7.1.1 Collocation and Collocation-Quadrature Methods -- 7.1.2 Weighted Uniform Convergence -- Collocation Methods -- Collocation-Quadrature Methods -- 7.1.3 Fast Algorithms -- Weighted L2-Convergence -- Computational Complexity of the Algorithm -- Weighted Uniform Convergence -- 7.2 Hypersingular Integral Equations -- 7.2.1 Collocation and Collocation-Quadrature Methods -- 7.2.2 A Fast Algorithm -- First Step of the Algorithm -- Second Step of the Algorithm -- A More General Situation -- 7.3 Integral Equations with Mellin Type Kernels -- 7.4 Nonlinear Cauchy Singular Integral Equations -- 7.4.1 Asymptotic of the Solution -- 7.4.2 A Collocation-Quadrature Method -- 7.4.3 Convergence Analysis -- 7.4.4 A Further Class of Nonlinear Cauchy Singular Integral Equations -- A Collocation-Quadrature Method -- Convergence Analysis -- 8 Applications -- 8.1 A Cruciform Crack Problem -- 8.1.1 The Integral Equations Under Consideration -- 8.1.2 Solvability Properties of the Operator Equations -- Equation (I+MH0)u0=f0 -- Equation (I+MH1)u1=f1 -- Equation (I+H2)u2=f2 -- 8.1.3 A Quadrature Method -- 8.2 The Drag Minimization Problem for a Wing -- 8.2.1 Formulation of the Problem. 8.2.2 Derivation of the Operator Equation -- 8.2.3 A Collocation-Quadrature Method -- 8.2.4 Numerical Examples -- 8.3 Two-Dimensional Free Boundary Value Problems -- 8.3.1 Seepage Flow from a Dam -- The Linear Case -- The Nonlinear Case -- 8.3.2 Seepage Flow from a Channel -- Generating Gaussian Rules -- The Application of Product Integration Rules -- Numerical Results -- 9 Hints and Answers to the Exercises -- 10 Equalities and Inequalities -- 10.1 Equalities and Equivalences -- 10.2 General Inequalities -- 10.3 Marcinkiewicz Inequalities -- Bibliography -- Index. |
Record Nr. | UNINA-9910495189803321 |
Junghanns Peter <1953->
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Cham, Switzerland : , : Birkhäuser, , [2021] | ||
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Lo trovi qui: Univ. Federico II | ||
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Weighted polynomial approximation and numerical methods for integral equations / / Peter Junghanns, Giuseppe Mastroianni, Incoronata Notarangelo |
Autore | Junghanns Peter <1953-> |
Edizione | [1st edition 2021.] |
Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
Descrizione fisica | 1 online resource (X, 658 p. 5 illus., 3 illus. in color.) |
Disciplina | 511.4 |
Collana | Pathways in Mathematics |
Soggetto topico |
Approximation theory
Integral equations - Numerical solutions Teoria de l'aproximació |
Soggetto genere / forma | Llibres electrònics |
ISBN | 3-030-77497-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Contents -- 1 Introduction -- 2 Basics from Linear and Nonlinear Functional Analysis -- 2.1 Linear Operators, Banach and Hilbert Spaces -- 2.2 Fundamental Principles -- 2.3 Compact Sets and Compact Operators -- 2.4 Function Spaces -- 2.4.1 Lp-Spaces -- 2.4.2 Spaces of Continuous Functions -- 2.4.3 Approximation Spaces and Unbounded Linear Operators -- 2.5 Fredholm Operators -- 2.6 Stability of Operator Sequences -- 2.7 Fixed Point Theorems and Newton's Method -- 3 Weighted Polynomial Approximation and Quadrature Rules on (-1,1) -- 3.1 Moduli of Smoothness, K-Functionals, and Best Approximation -- 3.1.1 Moduli of Smoothness and K-Functionals -- 3.1.2 Moduli of Smoothness and Best Weighted Approximation -- 3.1.3 Besov-Type Spaces -- 3.2 Polynomial Approximation with Doubling Weights on the Interval (-1,1) -- 3.2.1 Definitions -- 3.2.2 Polynomial Inequalities with Doubling Weights -- 3.2.3 Christoffel Functions with Respect to Doubling Weights -- 3.2.4 Convergence of Fourier Sums in Weighted Lp-Spaces -- 3.2.5 Lagrange Interpolation in Weighted Lp-Spaces -- 3.2.6 Hermite Interpolation -- 3.2.7 Hermite-Fejér Interpolation -- 3.2.8 Lagrange-Hermite Interpolation -- 3.3 Polynomial Approximation with Exponential Weights on the Interval (-1,1) -- 3.3.1 Polynomial Inequalities -- 3.3.2 K-Functionals and Moduli of Smoothness -- 3.3.3 Estimates for the Error of Best Weighted Polynomial Approximation -- 3.3.4 Fourier Sums in Weighted Lp-Spaces -- 3.3.5 Lagrange Interpolation in Weighted Lp-Spaces -- 3.3.6 Gaussian Quadrature Rules -- 4 Weighted Polynomial Approximation and Quadrature Rules on Unbounded Intervals -- 4.1 Polynomial Approximation with Generalized Freud Weights on the Real Line -- 4.1.1 The Case of Freud Weights -- 4.1.2 The Case of Generalized Freud Weights -- 4.1.3 Lagrange Interpolation in Weighted Lp-Spaces.
4.1.4 Gaussian Quadrature Rules -- 4.1.5 Fourier Sums in Weighted Lp-Spaces -- 4.2 Polynomial Approximation with Generalized Laguerre Weights on the Half Line -- 4.2.1 Polynomial Inequalities -- 4.2.2 Weighted Spaces of Functions -- 4.2.3 Estimates for the Error of Best Weighted Approximation -- 4.2.4 Fourier Sums in Weighted Lp-Spaces -- 4.2.5 Lagrange Interpolation in Weighted Lp-Spaces -- 4.3 Polynomial Approximation with Pollaczek-Laguerre Weights on the Half Line -- 4.3.1 Polynomial Inequalities -- 4.3.2 Weighted Spaces of Functions -- 4.3.3 Estimates for the Error of Best Weighted Polynomial Approximation -- 4.3.4 Gaussian Quadrature Rules -- 4.3.5 Lagrange Interpolation in L2w -- 4.3.6 Remarks on Numerical Realizations -- Computation of the Mhaskar-Rahmanov-Saff Numbers -- Numerical Construction of Quadrature Rules -- Numerical Examples -- Comparison with the Gaussian Rule Based on Laguerre Zeros -- 5 Mapping Properties of Some Classes of Integral Operators -- 5.1 Some Properties of the Jacobi Polynomials -- 5.2 Cauchy Singular Integral Operators -- 5.2.1 Weighted L2-Spaces -- 5.2.2 Weighted Spaces of Continuous Functions -- 5.2.3 On the Case of Variable Coefficients -- 5.2.4 Regularity Properties -- 5.3 Compact Integral Operators -- 5.4 Weakly Singular Integral Operators with Logarithmic Kernels -- 5.5 Singular Integro-Differential or Hypersingular Operators -- 5.6 Operators with Fixed Singularities of Mellin Type -- 5.7 A Note on the Invertibility of Singular Integral Operators with Cauchy and Mellin Kernels -- 5.8 Solvability of Nonlinear Cauchy Singular Integral Equations -- 5.8.1 Equations of the First Type -- 5.8.2 Equations of the Second Type -- 5.8.3 Equations of the Third Type -- 6 Numerical Methods for Fredholm Integral Equations -- 6.1 Collectively Compact Sequences of Integral Operators -- 6.2 The Classical Nyström Method. 6.2.1 The Case of Jacobi Weights -- 6.2.2 The Case of an Exponential Weight on (0,∞) -- 6.2.3 The Application of Truncated Quadrature Rules -- 6.3 The Nyström Method Based on Product Integration Formulas -- 6.3.1 The Case of Jacobi Weights -- 6.3.2 The Case of an Exponential Weight on (0,∞) -- 6.3.3 Application to Weakly Singular Integral Equations -- 6.4 Integral Equations with Logarithmic Kernels -- 6.4.1 The Well-posed Case -- 6.4.2 The Ill-posed Case -- 6.4.3 A Collocation-Quadrature Method -- 6.4.4 A Fast Algorithm -- 7 Collocation and Collocation-Quadrature Methods for Strongly Singular Integral Equations -- 7.1 Cauchy Singular Integral Equations on an Interval -- 7.1.1 Collocation and Collocation-Quadrature Methods -- 7.1.2 Weighted Uniform Convergence -- Collocation Methods -- Collocation-Quadrature Methods -- 7.1.3 Fast Algorithms -- Weighted L2-Convergence -- Computational Complexity of the Algorithm -- Weighted Uniform Convergence -- 7.2 Hypersingular Integral Equations -- 7.2.1 Collocation and Collocation-Quadrature Methods -- 7.2.2 A Fast Algorithm -- First Step of the Algorithm -- Second Step of the Algorithm -- A More General Situation -- 7.3 Integral Equations with Mellin Type Kernels -- 7.4 Nonlinear Cauchy Singular Integral Equations -- 7.4.1 Asymptotic of the Solution -- 7.4.2 A Collocation-Quadrature Method -- 7.4.3 Convergence Analysis -- 7.4.4 A Further Class of Nonlinear Cauchy Singular Integral Equations -- A Collocation-Quadrature Method -- Convergence Analysis -- 8 Applications -- 8.1 A Cruciform Crack Problem -- 8.1.1 The Integral Equations Under Consideration -- 8.1.2 Solvability Properties of the Operator Equations -- Equation (I+MH0)u0=f0 -- Equation (I+MH1)u1=f1 -- Equation (I+H2)u2=f2 -- 8.1.3 A Quadrature Method -- 8.2 The Drag Minimization Problem for a Wing -- 8.2.1 Formulation of the Problem. 8.2.2 Derivation of the Operator Equation -- 8.2.3 A Collocation-Quadrature Method -- 8.2.4 Numerical Examples -- 8.3 Two-Dimensional Free Boundary Value Problems -- 8.3.1 Seepage Flow from a Dam -- The Linear Case -- The Nonlinear Case -- 8.3.2 Seepage Flow from a Channel -- Generating Gaussian Rules -- The Application of Product Integration Rules -- Numerical Results -- 9 Hints and Answers to the Exercises -- 10 Equalities and Inequalities -- 10.1 Equalities and Equivalences -- 10.2 General Inequalities -- 10.3 Marcinkiewicz Inequalities -- Bibliography -- Index. |
Record Nr. | UNISA-996466386903316 |
Junghanns Peter <1953->
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Cham, Switzerland : , : Birkhäuser, , [2021] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Weights, extrapolation and the theory of Rubio de Francia / David V. Cruz-Uribe, José Maria Martell, Carlos Pérez |
Autore | Cruz-Uribe, David V. |
Pubbl/distr/stampa | Basel : Birkhäuser, 2011 |
Descrizione fisica | XIII, 280 p. ; 24 cm |
Disciplina | 511.4 |
Altri autori (Persone) |
Martell, José Maria
Pérez, Carlos |
Collana | Operator theory |
Soggetto non controllato |
Analisi numerica - presentazione di ricerche
Aspetti implementativi di computer degli algoritmi numerici |
ISBN |
978-3-0348-0071-6
978-3-0348-0072-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-990009377470403321 |
Cruz-Uribe, David V.
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Basel : Birkhäuser, 2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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