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

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