Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators

A new type Kantorovich variant of Bleimann-Butzer-Hahn operator Jn is introduced. Furthermore, the approximation properties of the operators Jn are studied. An estimate on the rate of convergence of the operators Jn for functions of bounded variation is obtained.

Bibliographic Details
Main Authors: Lingju Chen, Xiao-Ming Zeng
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/852897
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spelling doaj-fe124184d3134e7bac89294c2c776cc32020-11-25T01:37:58ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/852897Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn OperatorsLingju ChenXiao-Ming ZengA new type Kantorovich variant of Bleimann-Butzer-Hahn operator Jn is introduced. Furthermore, the approximation properties of the operators Jn are studied. An estimate on the rate of convergence of the operators Jn for functions of bounded variation is obtained. http://dx.doi.org/10.1155/2009/852897
collection DOAJ
language English
format Article
sources DOAJ
author Lingju Chen
Xiao-Ming Zeng
spellingShingle Lingju Chen
Xiao-Ming Zeng
Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators
Journal of Inequalities and Applications
author_facet Lingju Chen
Xiao-Ming Zeng
author_sort Lingju Chen
title Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators
title_short Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators
title_full Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators
title_fullStr Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators
title_full_unstemmed Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators
title_sort rate of convergence of a new type kantorovich variant of bleimann-butzer-hahn operators
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-01-01
description A new type Kantorovich variant of Bleimann-Butzer-Hahn operator Jn is introduced. Furthermore, the approximation properties of the operators Jn are studied. An estimate on the rate of convergence of the operators Jn for functions of bounded variation is obtained.
url http://dx.doi.org/10.1155/2009/852897
work_keys_str_mv AT lingjuchen rateofconvergenceofanewtypekantorovichvariantofbleimannbutzerhahnoperators
AT xiaomingzeng rateofconvergenceofanewtypekantorovichvariantofbleimannbutzerhahnoperators
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