Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators

Authors

1 School of Applied Sciences, Netaji Subhash Institute of Technology Sector 3 Dwarka, New Delhi 110 078, India

2 Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247 667, India

org/10.1016/j.joems.2012.07.001

Abstract

In the present paper, we establish some direct results in simultaneous approximation for Baskakov–Durrmeyer–Stancu (abbr. BDS) operators Dða;bÞ n ðf; xÞ. We establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimate in terms of second order modulus of continuity of the function.

Keywords