SUMMABILITY OF HADAMARD-PRODUCTS OF TAYLOR SECTIONS WITH POLYNOMIAL INTERPOLANTS

Authors
BRUCK R MULLER J
Citation
R. Bruck et J. Muller, SUMMABILITY OF HADAMARD-PRODUCTS OF TAYLOR SECTIONS WITH POLYNOMIAL INTERPOLANTS, Journal of approximation theory, 78(1), 1994, pp. 30-40
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
78
Issue
1
Year of publication
1994
Pages
30 - 40
Database
ISI
SICI code
0021-9045(1994)78:1<30:SOHOTS>2.0.ZU;2-A
Abstract
In previous papers the first author extended the classical equiconverg ence theorem of Walsh by the application of summability methods in ord er to enlarge the disk of equiconvergence to regions of equisummabilit y. The aim of this paper is to study equisummability of sequences whic h arise from Hadamard products of a fixed power series with Lagrange p olynomial interpolants. (C) 1994 Academic Press, Inc.