Approximation of continuous periodic functions via statistical convergence

Duman, O.; Erkus, ESRA

doi:10.1016/j.camwa.2006.04.020

Approximation of continuous periodic functions via statistical convergence

Atıf İçin Kopyala

Duman O., Erkus E.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.52, ss.967-974, 2006 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 52
Basım Tarihi: 2006
Doi Numarası: 10.1016/j.camwa.2006.04.020
Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.967-974
Gazi Üniversitesi Adresli: Hayır

Özet

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.