Author: "Guo, Shunsheng" / Language: english / Topic: approximation theory and functional analysis - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Guo, Shunsheng" Topic approximation theory Topic functional analysis Language english

Author: Guo, Shunsheng, Jiang, Hongbiao, and Qi, Qiulan
Subjects: *APPROXIMATION theory, *FUNCTIONALS, *LINEAR operators, *FUNCTIONAL analysis, *MATHEMATICAL functions
Abstract: Abstract: In this paper, we give direct, inverse and equivalence approximation theorems for the Bézier type of Meyer–König and Zeller operator with unified Ditzian–Totik modulus (). [Copyright &y& Elsevier]
Published: 2007
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Author: Guo, Shunsheng, Qi, Qiulan, and Liu, Guofen
Subjects: *OPERATOR theory, *FUNCTIONAL analysis, *APPROXIMATION theory, *MATHEMATICAL functions
Abstract: Abstract: For Baskakov–Bzier operators we give the direct, inverse and equivalence approximation theorems with unified Ditzian–Totik modulus . [Copyright &y& Elsevier]
Published: 2007
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Author: Guo, Shunsheng, Tong, Hongzhi, and Zhang, Gengsheng
Subjects: *MATHEMATICS, *WEIGHTS & measures, *APPROXIMATION theory, *FUNCTIONAL analysis, *POLYNOMIALS, *MATHEMATICAL functions
Abstract: We consider the pointwise weighted approximation by Bernstein operators. The related weight functions are Jacobi weights $w(x)\eg x^a{(1-x)}^b$ ( $0 . We obtain approximation equivalence theorems, using a weighted modulus of smoothness \omega^{2}_{\varphi^{\lambda}} {(f,t)}_{w}, which is an extension of~[5]. [ABSTRACT FROM AUTHOR]$
Published: 2003
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Author: Guo, Shunsheng, Zhang, Gengsheng, Qi, Qiulan, and Liu, Lixia
Subjects: *APPROXIMATION theory, *FUNCTIONAL analysis, *OPERATOR theory, *TOPOLOGICAL algebras, *STOCHASTIC convergence, *BERNSTEIN polynomials
Abstract: Recently some classical operator quasi-interploants were introduced to obtain much faster convergence. P. Mache and D. H. Mache gave Bernstein quasi-interpolants and obtained approximation equivalence theorem with . In this article we extend above result with modulus which unified classical modulus and Ditzian-Totik modulus. [ABSTRACT FROM AUTHOR]
Published: 2003
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