Approximation of continuous periodic functions via statistical convergence


Duman O., Erkus E.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.52, ss.967-974, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 52
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.camwa.2006.04.020
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Sayfa Sayıları: ss.967-974

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.