Some approximation properties of q-Durrmeyer operators

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摘要

In the present paper, 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.

论文关键词:q-Factorial,q-Integers,q-Durrmeyer operators,q-Beta function,Modulus of continuity

论文评审过程:Available online 2 August 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.07.056