Walsh Equiconvergence of Complex Interpolating Polynomials - Couverture rigide

Jakimovski, Amnon; Sharma, Ambikeshwar; Szabados, József

Couverture rigide

ISBN 10 : 1402041748 ISBN 13 : 9781402041747

Editeur : Springer-Verlag New York Inc., 2006

Synopsis

1) but not inz? ?, 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 forz

A propos du livre

Présentation de l'éditeur

This book is a collection of the various old and new results, centered around the following simple and beautiful observation of J.L. Walsh - If a function is analytic in a finite disc, and not in a larger disc, then the difference between the Lagrange interpolant of the function, at the roots of unity, and the partial sums of the Taylor series, about the origin, tends to zero in a larger disc than the radius of convergence of the Taylor series, while each of these operators converges only in the original disc. This book will be particularly useful for researchers in approximation and interpolation theory.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 1402041748
• ISBN 13: 9781402041747
• Reliure: Relié
• Nombre de pages: 312
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne