Interpolation Processes Basic Theory and Applications /

• Κύριοι συγγραφείς: Mastroianni, Giuseppe (Συγγραφέας), Milovanović, Gradimir V. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Fourier analysis.; Integral equations.; Sequences (Mathematics).; Special functions.; Integral Equations.; Special Functions.; Sequences, Series, Summability.; Fourier Analysis.

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...

Πίνακας περιεχομένων:

• 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.