Approximation of continuous periodic functions via statistical convergence
COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.52, pp.967-974, 2006 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 52
- Publication Date: 2006
- Doi Number: 10.1016/j.camwa.2006.04.020
- Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.967-974
- Çanakkale Onsekiz Mart University Affiliated: No
Abstract
In this work, we give a nontrivial generalization of the classical Korovkin approximation theorem by using the concept of A-statistical convergence, which is a regular (nonmatrix) summability method, for sequences of positive linear operators defined on the space of all real-valued continuous and 2 pi periodic functions on the real m-dimensional space. Furthermore, in the case of m = 2, we display an application which shows that our result is stronger than the classical approximation. (c) 2006 Elsevier Ltd. All rights reserved.