Universal approximation by regular weighted means
type: Item
instance of: scholarly article
title: Universal approximation by regular weighted means
zbMATH Open document ID: 0606.30002
published in: Pacific Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: In this paper we shall improve upon the results by \textit{K. Faulstich}, \textit{W. Luh} and \textit{L. Tomm} [Manuscr. Math. 36, 309-321 (1981; Zbl 0479.30023)] by (i) considering power series representing other meromorphic functions f, (ii) using a regular weighted means method D to obtain the overconvergence property and (iii) showing that D has a universal property with respect to analytic continuation i.e. for every simply connected region G which contains the open disc of convergence of the Maclaurin series of f but no pole of f, there is a subsequence of the D-transform of the nth partial sums of the Maclaurin series of f that converges to f uniformly on compact subsets of G.
Mathematics Subject Classification ID: 30B30
Mathematics Subject Classification ID: 30E10
zbMATH DE Number: 3979444
author: Brian Thorpe
author: Ludwig Tomm
MaRDI profile type: Publication
full work available at URL: pjm.1985.117.443
OpenAlex ID: W2089269990
DOI: 10.2140/PJM.1985.117.443
description: scientific article; zbMATH DE number 3979444