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Almost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers
Authors:Ayşegül Gökhan  Mikail Et  Mohammad Mursaleen
Institution:1. Department of Mathematics, Firat University, 23119, Elaz??, Turkey;2. Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Abstract:The purpose of this paper is to introduce the concepts of almost lacunary statistical convergence and strongly almost lacunary convergence of sequences of fuzzy numbers. We give some relations related to these concepts. We establish some connections between strongly almost lacunary convergence and almost lacunary statistical convergence of sequences of fuzzy numbers. It is also shown that if a sequence of fuzzy numbers is strongly almost lacunary convergent with respect to an Orlicz function then it is almost lacunary statistical convergent.
Keywords:
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