Walsh Equiconvergence of Complex Interpolating Polynomials (Springer Monographs in Mathematics) - Softcover

Buch 44 von 187: Springer Monographs in Mathematics

Jakimovski, Amnon; Sharma, Ambikeshwar; Szabados, József

 
9789048170609: Walsh Equiconvergence of Complex Interpolating Polynomials (Springer Monographs in Mathematics)
Softcover
ISBN 10: 9048170605 ISBN 13: 9789048170609
Verlag: Springer, 2010

Inhaltsangabe

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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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
9048170605
ISBN 13 
9789048170609
Einband
Taschenbuch
Anzahl der Seiten
312
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Hardcover