Rate of Approximation by Finite Iterates of q -Durrmeyer Operators

Authors

Asha Ram Gairola, Doon University
Deepmala, Indian Statistical Institute, Kolkata
Lakshmi Narayan Mishra, National Institute of Technology Silchar

Article Type

Research Article

Publication Title

Proceedings of the National Academy of Sciences India Section A - Physical Sciences

Abstract

In this paper the iterates of the q-Durrmeyer operators are introduced using a modification. For these iterates the convergence results are obtained. The estimates for the rate of convergence are obtained in terms of the modulus of smoothness. A Voronovskaya type asymptotic result is obtained. Finally necessary conditions are derived which guarantee the convergence of these iterates to the projection operators.

First Page

229

Last Page

234

DOI

10.1007/s40010-016-0267-z

Publication Date

6-1-2016

Recommended Citation

Gairola, Asha Ram; Deepmala; and Mishra, Lakshmi Narayan, "Rate of Approximation by Finite Iterates of q -Durrmeyer Operators" (2016). Journal Articles. 4401.
https://digitalcommons.isical.ac.in/journal-articles/4401