ENGLISH

Walsh Equiconvergence of Complex Interpolating Polynomials

By Amnon Jakimovski , Ambikeshwar Sharma , József Szabados

Book information

Publisher
Springer
Year
2010
ISBN
9789048170609, 9048170605
Language
english
Format
PDF
Filesize
5 MB (5263903 bytes)
Series
Springer Monographs in Mathematics
Edition
1st Edition.
Pages
302\302
Library
kolxoz
Time added
2010-02-18 13:16:04

Description

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.

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