Some Approximation Properties of Certain $q$-Baskakov-Beta Operators

Some Approximation Properties of Certain $q$-Baskakov-Beta Operators

Year:    2016

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 2 : pp. 189–204

Abstract

In this paper, we propose the $q$ analogue of modified Baskakov-Beta operators. The Voronovskaja type theorem and some direct results for the above operators are discussed. The rate of convergence and weighted approximation by the operators are studied.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2016.v32.n2.8

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 2 : pp. 189–204

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    $q$-Baskakov-Beta operators rate of convergence weighted approximation.