Search

In this paper we introduce the concepts of Wijsman (f, I) −lacunary statistical convergence of order α and Wijsman strongly (f, I) −lacunary statistical convergence of order α, and investigated between their relationship. [ABSTRACT FROM AUTHOR]

The main purpose of this paper is to introduce the concept of strongly ideal lacunary quasi-Cauchyness of order (α, β) of sequences of real numbers. Strongly ideal lacunary ward continuity of order (α, β) is also investigated. Interesting results are obtained. [ABSTRACT FROM AUTHOR]

The idea of I−convergence of real sequences was introduced by Kostyrko et al. [Kostyrko, P., Šalát, T. and Wilczyński, W. I−convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686] and also independently by Nuray and Ruckle [Nuray, F. and Ruckle, W. H. Generalized statistical convergence and convergence free spaces. J. Math. Anal. Appl. 245(2) (2000), 513–527]. In this paper we introduce I−deferred statistical convergence and strong I−deferred Cesàro convergence and investigate between their relationship. [ABSTRACT FROM AUTHOR]

In this study, we introduce the concepts of pointwise deferred statistical convergence and strongly deferred Cesàro pointwise summable sequences of fuzzy mappings. Some relations between pointwise deferred statistical convergence and strongly deferred Cesàro pointwise summable sequences of fuzzy mappings are given. [ABSTRACT FROM AUTHOR]

In this paper, the definitions of lacunary strong A−convergence of order α with respect to a modulus and lacunary A−statistical convergence of order α were given by adding α to the definitions of lacunary strong A−convergence with respect to a modulus and lacunary A−statistical convergence when A = (aik) is an infinite matrix of complex numbers and 0 < α ≤ 1. We study some connections between lacunary strong A - convergence of order α with respect to a modulus and lacunary A - statistical convergence of order α. [ABSTRACT FROM AUTHOR]

In this study, we introduce and examine the concepts of △θm-asymptotically statistical equivalent of order a and strong △θm-asymptotically equivalent of order α of sequences. Also, we give some relations connected to these concepts. [ABSTRACT FROM AUTHOR]