Abstract and Applied Analysis
Volume 2011 (2011), Article ID 432961, 10 pages
http://dx.doi.org/10.1155/2011/432961
Research Article

Approximation of Analytic Functions by Chebyshev Functions

Soon-Mo Jung1 and Themistocles M. Rassias2

1Mathematics Section, College of Science and Technology, Hongik University, Jochiwon 339-701, Republic of Korea
2Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece

Received 7 May 2011; Accepted 11 July 2011

Academic Editor: Yong Zhou

Copyright © 2011 Soon-Mo Jung and Themistocles M. Rassias. 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 solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.