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2007 APPROXIMATION FOR BASKAKOV-KANTOROVICH-BÉZIER OPERATORS IN THE SPACE $L_p[0,\infty)$
Shunsheng Guo, Qiulan Qi, Shujie Yue
Taiwanese J. Math. 11(1): 161-177 (2007). DOI: 10.11650/twjm/1500404643

Abstract

In this paper we give the direct, inverse and equivalence theorem for Baskakov-Kantorovich-Bézier operators in the space $L_p[0,\infty)$ ($1 \leq p \leq \infty$) with Ditzian-Totik modulus.

Citation

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Shunsheng Guo. Qiulan Qi. Shujie Yue. "APPROXIMATION FOR BASKAKOV-KANTOROVICH-BÉZIER OPERATORS IN THE SPACE $L_p[0,\infty)$." Taiwanese J. Math. 11 (1) 161 - 177, 2007. https://doi.org/10.11650/twjm/1500404643

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1134.41011
MathSciNet: MR2304013
Digital Object Identifier: 10.11650/twjm/1500404643

Subjects:
Primary: 41A25 , 41A27 , 41A36

Keywords: $K$-functional , Baskakov-Kantorovich-Bézier operator , direct and inverse theorems , modulus of smoothness

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 1 • 2007
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