Statistical approximation of Baskakov and Baskakov-Kantorovich operators based on the q-integers
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Abstract
In the present paper we introduce and investigate weighted statistical approximation properties of a q-analogue of the Baskakov and Baskakov-Kantorovich operators. By using a weighted modulus of smoothness, we give some direct estimations for error in the case 0 < q < 1.
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Keywords
q-Baskakov-Kantorovich operators, 41A36, Weighted space, 41A30, 41A25,, Weighted modulus of smoothness, Number Theory, Mathematics, Topological Groups, Lie Groups,, Algebra, q-Baskakov operators, Geometry, q-integers, Mathematics, general,, Probability Theory and Stochastic Processes, ZELLER OPERATORS, MATHEMATICS,
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Central European Journal of Mathematics
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Volume
8
Issue
4
