IJPAM: Volume 64, No. 1 (2010)
THE ASYMPTOTIC REPRESENTATION FOR
THE BEST APPROXIMATION OF SOME CLASSES
NONPERIODIC CONTINUOUS FUNCTIONS
THE BEST APPROXIMATION OF SOME CLASSES
NONPERIODIC CONTINUOUS FUNCTIONS
N.L. Braha
Department of Mathematics and Computer Sciences
University of Prishtina
5, Mother Theresa Avenue, Prishtina, 10000, KOSOVO
e-mail: nbraha@yahoo.com
Department of Mathematics and Computer Sciences
University of Prishtina
5, Mother Theresa Avenue, Prishtina, 10000, KOSOVO
e-mail: nbraha@yahoo.com
Abstract.In this paper we will give the asymptotic representation of the best
approximation for continuous 
periodic functions, using the module of smoothness, like
as the one given in [#!TVN!#], for module of
continuity. Then
considering
that result we will give the asymptotic representation of the best approximation for some classes
of nonperiodic continuous functions.
Received: March 11, 2009
AMS Subject Classification: 41A60, 41A65
Key Words and Phrases: module of continuity, module of smoothness, nonperiodic function
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 64
Issue: 1