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Volume 32, Issue 2
Some Approximation Properties of Certain $q$-Baskakov-Beta Operators

R. R. Liu, X. M. Hu & H. T. Wu

Anal. Theory Appl., 32 (2016), pp. 189-204.

Published online: 2016-04

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  • 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.

  • AMS Subject Headings

41A25, 41A35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-32-189, author = {R. R. Liu, X. M. Hu and H. T. Wu}, title = {Some Approximation Properties of Certain $q$-Baskakov-Beta Operators}, journal = {Analysis in Theory and Applications}, year = {2016}, volume = {32}, number = {2}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2016.v32.n2.8}, url = {http://global-sci.org/intro/article_detail/ata/4665.html} }
TY - JOUR T1 - Some Approximation Properties of Certain $q$-Baskakov-Beta Operators AU - R. R. Liu, X. M. Hu & H. T. Wu JO - Analysis in Theory and Applications VL - 2 SP - 189 EP - 204 PY - 2016 DA - 2016/04 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n2.8 UR - https://global-sci.org/intro/article_detail/ata/4665.html KW - $q$-Baskakov-Beta operators, rate of convergence, weighted approximation. AB -

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.

R. R. Liu, X. M. Hu and H. T. Wu. (2016). Some Approximation Properties of Certain $q$-Baskakov-Beta Operators. Analysis in Theory and Applications. 32 (2). 189-204. doi:10.4208/ata.2016.v32.n2.8
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