Walsh Equiconvergence of Complex Interpolating Polynomials

2006
ISBN: 978-1-4020-4174-7
Verlag: Springer Netherlands

Buch, Englisch, 298 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1360 g

Reihe: Springer Monographs in Mathematics

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

Zielgruppe

Research

Autoren/Hrsg.

Jakimovski, Amnon

Szabados, József

Sharma, Ambikeshwar

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.