A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators

In this paper we consider some analogs of the Korovkin approximation theorem via lacunary equistatistical convergence. In particular we study lacunary equi-statistical convergence of approximating operators on spaces, the spaces of all real valued continuous functions de…ned on and satisfying som...

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Main Authors: Yusuf Kaya, Nazmiye Gönül
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/514174
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author Yusuf Kaya
Nazmiye Gönül
author_facet Yusuf Kaya
Nazmiye Gönül
author_sort Yusuf Kaya
collection DOAJ
description In this paper we consider some analogs of the Korovkin approximation theorem via lacunary equistatistical convergence. In particular we study lacunary equi-statistical convergence of approximating operators on spaces, the spaces of all real valued continuous functions de…ned on and satisfying some special conditions.
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institution Kabale University
issn 1085-3375
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publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-2ff9f68cc2834ebcab4ef3008e21b4e42025-02-03T06:05:20ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/514174514174A Generalization of Lacunary Equistatistical Convergence of Positive Linear OperatorsYusuf Kaya0Nazmiye Gönül1Department of Mathematics, Faculty of Arts and Sciences, Bulent Ecevit University, 67100 Zonguldak, TurkeyDepartment of Mathematics, Faculty of Arts and Sciences, Bulent Ecevit University, 67100 Zonguldak, TurkeyIn this paper we consider some analogs of the Korovkin approximation theorem via lacunary equistatistical convergence. In particular we study lacunary equi-statistical convergence of approximating operators on spaces, the spaces of all real valued continuous functions de…ned on and satisfying some special conditions.http://dx.doi.org/10.1155/2013/514174
spellingShingle Yusuf Kaya
Nazmiye Gönül
A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators
Abstract and Applied Analysis
title A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators
title_full A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators
title_fullStr A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators
title_full_unstemmed A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators
title_short A Generalization of Lacunary Equistatistical Convergence of Positive Linear Operators
title_sort generalization of lacunary equistatistical convergence of positive linear operators
url http://dx.doi.org/10.1155/2013/514174
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