Interpolation processes [electronic resource] : basic theory and applications / Giuseppe Mastroianni, Gradimir V. Milovanović
Presents with proofs the results on convergent interpolation processes, for trigonometric and algebraic polynomials of one real variable. This book provides the basic properties of the classical orthogonal polynomials and results on nonclassical orthogonal polynomials including methods for their num...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin :
Springer,
©2008.
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| Series: | Springer monographs in mathematics.
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| Subjects: |
MARC
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| 245 | 1 | 0 | |a Interpolation processes |h [electronic resource] : |b basic theory and applications / |c Giuseppe Mastroianni, Gradimir V. Milovanović |
| 260 | |a Berlin : |b Springer, |c ©2008. | ||
| 300 | |a 1 online resource (xiv, 444 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
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| 490 | 1 | |a Springer monographs in mathematics, |x 1439-7382. | |
| 504 | |a Includes bibliographical references (pages 415-435) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a Presents with proofs the results on convergent interpolation processes, for trigonometric and algebraic polynomials of one real variable. This book provides the basic properties of the classical orthogonal polynomials and results on nonclassical orthogonal polynomials including methods for their numerical construction. | ||
| 588 | 0 | |a Print version record. | |
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| 700 | 1 | |a Milovanović, G. V. |0 http://id.loc.gov/authorities/names/n85065799 | |
| 776 | 0 | 8 | |i Print version: |a Mastroianni, G. (Giuseppe). |t Interpolation processes. |d Berlin : Springer, ©2008 |z 9783540683469 |z 3540683461 |w (OCoLC)233788977. |
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