Walsh Equiconvergence of Complex Interpolating Polynomials

Walsh Equiconvergence of Complex Interpolating Polynomials
Author :
Publisher : Springer Science & Business Media
Total Pages : 303
Release :
ISBN-10 : 9781402041754
ISBN-13 : 1402041756
Rating : 4/5 (54 Downloads)

Book Synopsis Walsh Equiconvergence of Complex Interpolating Polynomials by : Amnon Jakimovski

Download or read book Walsh Equiconvergence of Complex Interpolating Polynomials written by Amnon Jakimovski and published by Springer Science & Business Media. This book was released on 2007-05-16 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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