Table of Contents
ISRN Mathematical Analysis
Volume 2011 (2011), Article ID 184374, 11 pages
http://dx.doi.org/10.5402/2011/184374
Research Article

On 𝐿𝑝-Approximation by Iterative Combination of Bernstein-Durrmeyer Polynomials

1Department of Mathematics, SMD College Poonpoon, Patna, Bihar, India
2Department of Mathematics, IIT Roorkee, Roorkee 247667, India

Received 11 November 2010; Accepted 9 December 2010

Academic Editors: O. Guès and R. Stenberg

Copyright © 2011 T. A. K. Sinha et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We improve the degree of approximation by Bernstein-Durrmeyer polynomials taking their iterates and obtain error estimate in higher-order approximation.