Direct and inverse theorems on statistical approximations by positive linear operators
type: Item
instance of: scholarly article
title: Direct and inverse theorems on statistical approximations by positive linear operators
zbMATH Open document ID: 1170.41001
DOI: 10.1216/RMJ-2008-38-6-1959
author: Ogün Doğru
published in: Rocky Mountain Journal of Mathematics
publication date: 2009-04-07T00:00:00Z
review text: The author proves some direct and inverse results on \(A\)-statistical convergence of the sequence of general positive linear operators. The order of \(A\)-statistical convergence is computed by means of the modulus of continuity and Peetre's \(K\)-functionals.
reviewed by: Zoltán Finta
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 40A25
zbMATH DE Number: 5541306
zbMATH Keywords: \(A\)-statistical convergence
zbMATH Keywords: sequence of positive linear operators
zbMATH Keywords: the korovkin type theorem
zbMATH Keywords: peetre's \(K\)-functional
zbMATH Keywords: first- and second-order modulus of continuities and Lipschitz classes
MaRDI profile type: Publication
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full work available at URL: rmj-2008-38-6-1959
OpenAlex ID: W2089720124
description: scientific article; zbMATH DE number 5541306