On Simultaneous Approximation of Modified Baskakov Durrmeyer Operators

Abstract

In this present manuscript, we discuss properties of modified Baskakov-Durrmeyer-Stancu (BDS) operators with parameter $\gamma >0$. 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 $B_{n,\gamma }^{\alpha ,\beta }(f,x)$.

14 pages, International Journal of Analysis,2015