Journal of Applied Mathematics
Volume 2012 (2012), Article ID 546784, 28 pages
http://dx.doi.org/10.1155/2012/546784
Research Article

Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators

Hee Sun Jung1 and Ryozi Sakai2

1Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of Korea
2Department of Mathematics, Meijo University, Nagoya 468-8502, Japan

Received 28 July 2011; Accepted 5 January 2012

Academic Editor: Yuantong Gu

Copyright © 2012 Hee Sun Jung and Ryozi Sakai. 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

Lupas-type operators and Szász-Mirakyan-type operators are the modifications of Bernstein polynomials to infinite intervals. In this paper, we investigate the convergence of Lupas-type operators and Szász-Mirakyan-type operators on [ 0 , ∞ ) .