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Some approximation properties of \(q\)-Durrmeyer operators. (English) Zbl 1142.41008

Summary: We introduce a simple \(q\) analogue of well known Durrmeyer operators. We first estimate moments of \(q\)-Durrmeyer operators. We also establish the rate of convergence for \(q\)-Durrmeyer operators.

MSC:

41A36 Approximation by positive operators
33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
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