On Simultaneous Approximation of Modified Baskakov Durrmeyer Operators

preprint2015arXivOpen access

Abstract

In this present manuscript, we discuss properties of modified Baskakov-Durrmeyer-Stancu (BDS) operators with parameter γ>0γ>0. We compute the moments of these modified operators. Also, establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimation in terms of second order modification of continuity of the function for the operators Bn,γα,β(f,x)B_{n,γ}^{α,β}(f,x).

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