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Approximation for absolutely continuous functions by Stancu Beta operators

In this paper, we obtain an exact estimate for the first-order absolute moment of Stancu Beta operators by means of the Stirling formula and integral operations. Then we use this estimate for establishing a theorem on approximation of absolutely continuous functions by Stancu Beta operators.

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Bibliographic Details
Date:	2011
Main Authors:	Zeng, Xiao Ming, Цзен, Сяо Мін
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2011
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2827
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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