Article
Kyungpook Mathematical Journal 2016; 56(2): 357-366
Published online June 1, 2016
Copyright © Kyungpook Mathematical Journal.
On Deferred Statistical Convergence of Sequences
Mehme Küçükaslan, Müjde Yilmaztürk
Department of Mathematics, Mersin University, Mersin, 33343, Turkey
Received: September 26, 2012; Accepted: March 28, 2016
In this paper, deferred statistical convergence is defined by using deferred Cesàro mean instead of Cesàro mean in the definition of statistical convergence. The obtained method is compared with strong deferred Cesàro mean and statistical convergence under some certain assumptions. Also, some inclusion theorems and examples are given.
Keywords: statistical convergence, deferred statistical convergence, summability of sequences, strongly summability.