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A new property of Bernstein-Kantorovi? operators
Authors:Sheng Baohuai and Zhou Songping
Affiliation:(1) Department of Mathematics, Shaoxing College of Arts and Sciences, 312000 Shaoxing, Zhejiang, P. R. China;(2) Institute of Mathematics, Zhejiang University of Sciences and Technology, 310018 Hangzhou, Zhejiang, P. R. China
Abstract:In the present paper, we prove that the Bernstein-Kantorovič operators have the ability of preserving translation property in both C and Lp norms. Supported (in part) by the NSFC(10471130,10371024) of PRC and the Natural Science Foundation (Y604003) of Zhejiang Province.
Keywords:Bernstein operators  translation property  preservation
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