Approximation with Jacobi weights by Baskakov operators

Jian Jun Wang; Zong Ben Xu

doi:10.11650/twjm/1500405276

Approximation with Jacobi weights by Baskakov operators

Jian Jun Wang
, Zong Ben Xu

School of Mathematics and Statistics

Xi'an Jiaotong University
Southwest University

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Using the modulus of smoothness ω^φ λ(f, t)ω, 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.

Original language	English
Pages (from-to)	157-168
Number of pages	12
Journal	Taiwanese Journal of Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.11650/twjm/1500405276
State	Published - Feb 2009

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title = "Approximation with Jacobi weights by Baskakov operators",

abstract = "Using the modulus of smoothness ωφ λ(f, t)ω, 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.",

author = "Wang, \{Jian Jun\} and Xu, \{Zong Ben\}",

year = "2009",

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AB - Using the modulus of smoothness ωφ λ(f, t)ω, 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.

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DO - 10.11650/twjm/1500405276

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JO - Taiwanese Journal of Mathematics

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Approximation with Jacobi weights by Baskakov operators

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