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2009 APPROXIMATION WITH JACOBI WEIGHTS BY BASKAKOV OPERATORS
Jian-Jun Wang, Zongben Xu
Taiwanese J. Math. 13(1): 157-168 (2009). DOI: 10.11650/twjm/1500405276

Abstract

Using the modulus of smoothness $\omega_{\varphi^{\lambda}}^{2}(f,t)_{\omega}$, direct theorem with Jacobi weights of Baskakov operators is established in this paper; In addition, a weak-type inverse theorem of Baskakov operators is obtained in the weighted norm.

Citation

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Jian-Jun Wang. Zongben Xu. "APPROXIMATION WITH JACOBI WEIGHTS BY BASKAKOV OPERATORS." Taiwanese J. Math. 13 (1) 157 - 168, 2009. https://doi.org/10.11650/twjm/1500405276

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1180.41022
MathSciNet: MR2489311
Digital Object Identifier: 10.11650/twjm/1500405276

Subjects:
Primary: 41A25/CLC , 41A36

Keywords: Baskakov operators , weighted approximation , weighted modulous of smoothness

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 1 • 2009
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