Walsh Equiconvergence Of Complex Interpolating Polynomials

Jakimovski, Amnon; Sharma, Ambikeshwar; Szabados, József

ISBN 10: 1402041748 / ISBN 13: 9781402041747

Edité par Springer, 2006

A propos de cet article

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N° de réf. du vendeur ABNR-93432

Détails bibliographiques

• Titre: Walsh Equiconvergence Of Complex Interpolating Polynomials
• Éditeur: Springer
• Date de parution: 2006
• Langue: anglais
• ISBN à 10 chiffres: 1402041748
• ISBN à 13 chiffres: 9781402041747
• Reliure: Couverture rigide
• État de l'article: New

A propos de ce titre

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

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.