Interpolation processes : basic theory and applications
The classical books on interpolation address numerous negative results, i.e., results on divergent interpolation processes, usually constructed over some equidistant systems of nodes. The authors present, with complete proofs, recent results on convergent interpolation processes, for trigonometric a...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2008. |
| سلاسل: | Springer Monographs in Mathematics
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| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Interpolation processes, basic theory and applications, Giuseppe Mastroianni, Gradimir V. Milovanović, Berlin, Springer, 2008, 1 vol. (XIV-444 p.), Springer monographs in mathematics, 978-3-540-68346-9 • Interpolation Processes, Texte imprimé, 9783540864004 • Interpolation Processes, Texte imprimé, 9783642087943 • Interpolation processes, basic theory and applications, Giuseppe Mastroianni, Gradimir V. Milovanović, Berlin, Springer, 2008, 1 vol. (XIV-444 p.), Springer monographs in mathematics, 978-3-540-68346-9 |
جدول المحتويات:
- 1. Constructive Elements and Approaches in Approximation Theory 1.1 Introduction to Approximation Theory 1.2 Basic Facts on Trigonometric Approximation 1.3 Chebyshev Systems and Interpolation 1.4 Interpolation by Algebraic Polynomials 2. Orthogonal Polynomials and Weighted Polynomial Approximation 2.1 Orthogonal Systems and Polynomials 2.2 Orthogonal Polynomials on the Real Line 2.3 Classical Orthogonal Polynomials 2.4 Nonclassical Orthogonal Polynomials 2.5 Weighted Polynomial Approximation 3. Trigonometric Approximation 3.1 Approximating Properties of Operators 3.2 Discrete Operators 4. Algebraic Interpolation in Uniform Norm 4.1 Introduction and Preliminaries 4.2 Optimal Systems of Nodes 4.3 Weighted Interpolation 5. Applications 5.1 Quadrature Formulae 5.2 Integral Equations 5.3 Moment-Preserving Approximation 5.4 Summation of Slowly Convergent Series References Index