Walsh Equiconvergence of Complex Interpolating Polynomials

Name: Walsh Equiconvergence of Complex Interpolating Polynomials
Brand: Springer-verlag New York Inc.
SKU: 364169
Price: 1572.00 ZAR
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Features

Author	Ambikeshwar Sharma , Amnon Jakimovski , Jszsef Szabados
Format	Hardcover
ISBN	9781402041747
Publisher	Springer-Verlag New York Inc.
Manufacturer	Springer-verlag New York Inc.

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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