On a q-analog of the Baskakov basis functions
Tóm tắt
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.
Tài liệu tham khảo
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