Approximation by Multivariate Baskakov-Durrmeyer Operator

Approximation by Multivariate Baskakov-Durrmeyer Operator

The main aim of this paper is to introduce and study multivariate Baskakov-Durrmeyer operator, which is nontensor product generalization of the one variable. As a main result, the strong direct inequality of approximation by the operator is established by using a decomposition technique.

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Veröffentlicht in:Journal of inequalities and applications 2011-02, Vol.2011 (1), p.158219
Hauptverfasser: Cao, Feilong, An, Yongfeng
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
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Zusammenfassung:The main aim of this paper is to introduce and study multivariate Baskakov-Durrmeyer operator, which is nontensor product generalization of the one variable. As a main result, the strong direct inequality of approximation by the operator is established by using a decomposition technique.
ISSN:1029-242X
1029-242X
DOI:10.1155/2011/158219