The rate of weak convergence of convex type positive finite measure
type: Item
instance of: scholarly article
title: The rate of weak convergence of convex type positive finite measure
zbMATH Open document ID: 0709.41010
DOI: 10.1016/0022-247X(88)90128-X
author: George A. Anastassiou
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: The author obtains different exact estimates of \(\lambda\) for inequalities of the form \[ | \int_{M}f d\mu -f(x_ 0)| \leq | \mu (M)-1)| | f(x_ 0)| +\lambda \] wherein \(\mu\) is a positive measure on a nonempty convex subset M of a real normed space. This kind of inequality arises from quantitative Korovkin type theorems. The estimates improve earlier results of the author and others. Applications are also given in this paper.
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 4165572
zbMATH Keywords: exact estimates
zbMATH Keywords: quantitative Korovkin type theorems
zbMATH Keywords: Applications
reviewed by: Miguel A. Jiménez
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4165572