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

<p/> <p>A new type Kantorovich variant of Bleimann-Butzer-Hahn operator <inline-formula> <graphic file="1029-242X-2009-852897-i1.gif"/></inline-formula> is introduced. Furthermore, the approximation properties of the operators <inline-formula> <graphi...

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Main Authors:	Zeng Xiao-Ming, Chen Lingju
Format:	Article
Language:	English
Published:	SpringerOpen 2009-01-01
Series:	Journal of Inequalities and Applications
Online Access:	http://www.journalofinequalitiesandapplications.com/content/2009/852897

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spelling	doaj-aa8f8ecda0d148138b24215a531f83162020-11-24T21:43:11ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091852897Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn OperatorsZeng Xiao-MingChen Lingju<p/> <p>A new type Kantorovich variant of Bleimann-Butzer-Hahn operator <inline-formula> <graphic file="1029-242X-2009-852897-i1.gif"/></inline-formula> is introduced. Furthermore, the approximation properties of the operators <inline-formula> <graphic file="1029-242X-2009-852897-i2.gif"/></inline-formula> are studied. An estimate on the rate of convergence of the operators <inline-formula> <graphic file="1029-242X-2009-852897-i3.gif"/></inline-formula> for functions of bounded variation is obtained.</p>http://www.journalofinequalitiesandapplications.com/content/2009/852897
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zeng Xiao-Ming Chen Lingju
spellingShingle	Zeng Xiao-Ming Chen Lingju Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators Journal of Inequalities and Applications
author_facet	Zeng Xiao-Ming Chen Lingju
author_sort	Zeng Xiao-Ming
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	<p/> <p>A new type Kantorovich variant of Bleimann-Butzer-Hahn operator <inline-formula> <graphic file="1029-242X-2009-852897-i1.gif"/></inline-formula> is introduced. Furthermore, the approximation properties of the operators <inline-formula> <graphic file="1029-242X-2009-852897-i2.gif"/></inline-formula> are studied. An estimate on the rate of convergence of the operators <inline-formula> <graphic file="1029-242X-2009-852897-i3.gif"/></inline-formula> for functions of bounded variation is obtained.</p>
url	http://www.journalofinequalitiesandapplications.com/content/2009/852897
work_keys_str_mv	AT zengxiaoming rateofconvergenceofanewtypekantorovichvariantofbleimannbutzerhahnoperators AT chenlingju rateofconvergenceofanewtypekantorovichvariantofbleimannbutzerhahnoperators
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Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators

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