Abstract and Applied Analysis
Volume 2013 (2013), Article ID 349156, 7 pages
http://dx.doi.org/10.1155/2013/349156
Research Article

On the -Bernstein Polynomials of Unbounded Functions with

Sofiya Ostrovska and Ahmet Yaşar Özban

Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey

Received 8 January 2013; Accepted 19 February 2013

Academic Editor: Yuriy Rogovchenko

Copyright © 2013 Sofiya Ostrovska and Ahmet Yaşar Özban. 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

The aim of this paper is to present new results related to the -Bernstein polynomials of unbounded functions in the case and to illustrate those results using numerical examples. As a model, the behavior of polynomials is examined both theoretically and numerically in detail for functions on satisfying as , where and are real numbers.