| Walsh Equiconvergence of Complex Interpolating Polynomials 2006 Edition Contributor(s): Jakimovski, Amnon (Author), Sharma, Ambikeshwar (Author), Szabados, József (Author) |
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ISBN: 1402041748 ISBN-13: 9781402041747 Publisher: Springer OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: March 2006 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Algebra - Elementary - Mathematics | Functional Analysis |
| Dewey: 512.942 |
| LCCN: 2006279340 |
| Series: Springer Monographs in Mathematics |
| Physical Information: 0.75" H x 6.14" W x 9.21" (1.35 lbs) 298 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 1) but not inz? ?, then the di?erence between the Lagrange interpolant to it th in the n roots of unity and the partial sums of degree n? 1 of the Taylor 2 series about the origin, tends to zero in a larger disc of radius ?, although both operators converge to f(z) only forz |