On a q-analog of the Baskakov basis functions
- 1 July 2013
- journal article
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 20 (3) , 276-282
- https://doi.org/10.1134/s1061920813030035
Abstract
Recently, Agrawal and Thamer suggested a new sequence of summation-integral type operators using the Baskakov basis function. We find a generating function of the q-Baskakov basis function and suggest a q-analog of the operators. We estimate moments, give a recurrence formula, and obtain some direct results. We also mention the possibility of improving the q-operators and, finally, suggest a Bézier-type variant of the operators discussed here.Keywords
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