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Walsh Equiconvergence of Complex Interpolating Polynomials

Name: Walsh Equiconvergence of Complex Interpolating Polynomials
Brand: Springer-Verlag New York Inc.
SKU: 01416465
Price: 60.39 EUR
Availability: InStock
Author: A. Jakimovski
ISBN: 9781402041747

A. Jakimovski

A. Sharma

J. Szabados

Language

English

Book Hardback

Libristo code: 01416465

Publishers Springer-Verlag New York Inc., March 2006

This book is a collection of the various old and new results, centered around the following simple a... Full description

Libristo code: 01416465

148 b

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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.