Some variations of the Bohman-Korovkin theorem


Atlihan O. G. , Ince H. G. , ORHAN C.

MATHEMATICAL AND COMPUTER MODELLING, cilt.50, ss.1205-1210, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.mcm.2009.06.009
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Sayfa Sayıları: ss.1205-1210

Özet

In this paper we develop the main aspects of the Bohman-Korovkin theorem on approximation of continuous functions with the use of A-statistical convergence and matrix summability method which includes both convergence and almost convergence. Since statistical convergence and almost convergence methods are incompatible we conclude that these methods can be used alternatively to get some approximation results. (C) 2009 Elsevier Ltd. All rights reserved.