Walsh Equiconvergence of Complex Interpolating Polynomials
Seiten
2006
Springer-Verlag New York Inc.
978-1-4020-4174-7 (ISBN)
Springer-Verlag New York Inc.
978-1-4020-4174-7 (ISBN)
A collection of the various old and new results, centered around the following simple observation of J L Walsh. This book is particularly useful for researchers in approximation and interpolation theory.
1) but not in|z|? ?, then the di?erence between the Lagrange interpolant to it th in the n roots of unity and the partial sums of degree n? 1 of the Taylor 2 series about the origin, tends to zero in a larger disc of radius ? , although both operators converge to f(z) only for|z|
1) but not in|z|? ?, then the di?erence between the Lagrange interpolant to it th in the n roots of unity and the partial sums of degree n? 1 of the Taylor 2 series about the origin, tends to zero in a larger disc of radius ? , although both operators converge to f(z) only for|z|
Lagrange Interpolation and Walsh Equiconvergence.- Hermite and Hermite-Birkhoff Interpolation and Walsh Equiconvergence.- A Generalization of the Taylor Series to Rational Functions and Walsh Equiconvergence.- Sharpness Results.- Converse Results.- Padé Approximation and Walsh Equiconvergence for Meromorphic Functions with ?–Poles.- Quantitative Results in the Equiconvergence of Approximation of Meromorphic Functions.- Equiconvergence for Functions Analytic in an Ellipse.- Walsh Equiconvergence Theorems for the Faber Series.- Equiconvergence on Lemniscates.- Walsh Equiconvergence and Equisummability.
| Reihe/Serie | Springer Monographs in Mathematics |
|---|---|
| Zusatzinfo | XIV, 298 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Schlagworte | Polynom |
| ISBN-10 | 1-4020-4174-8 / 1402041748 |
| ISBN-13 | 978-1-4020-4174-7 / 9781402041747 |
| Zustand | Neuware |
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