Main Data
Author: Amnon Jakimovski, Ambikeshwar Sharma, József Szabados
Title: Walsh Equiconvergence of Complex Interpolating Polynomials
Publisher: Springer-Verlag
ISBN/ISSN: 9781402041754
Edition: 1
Price: CHF 92.40
Publication date: 01/01/2007
Category: Mathematics
Language: English
Technical Data
Pages: 298
Kopierschutz: DRM
Geräte: PC/MAC/eReader/Tablet
Formate: PDF
Table of contents
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.