Article ID Journal Published Year Pages File Type
4625511 Applied Mathematics and Computation 2017 14 Pages PDF
Abstract

In the present paper we propose the Durrmeyer type modification of Baskakov operators based on inverse Pólya–Eggenberger distribution. First we estimate a recurrence relation by using hypergeometric series. We give a global approximation theorem in terms of second order modulus of continuity, a direct approximation theorem by means of the Ditzian–Totik modulus of smoothness and a Voronovskaja type theorem. Some approximation results in weighted space are obtained. Also, we show the rate of convergence of these operators to certain functions by illustrative graphics using the Maple algorithms.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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