Lacunary Statistical Convergence in Measure for Sequences of Fuzzy Valued Functions

Authors : Ömer Kişi, Erdinç Dündar

Pages : 252-262

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Publication Date : 2020-10-27

Article Type : Research

Abstract :In this study, we examine the concepts of outer and inner lacunary statistical convergence in measure for sequences of fuzzy-valued measurable functions and show that both kinds of convergence are equivalent in a finite measurable set. Also, we investigate the notion of lacunary statistical convergence in measure for sequences of fuzzy-valued measurable functions and establish interesting results. Furthermore, we give the lacunary statistical version of Egorov's theorem for sequences of fuzzy-valued measurable functions in a finite measurable space.
Keywords : Pointwise convergence, Uniformly convergence, Lacunary convergence, Fuzzy-valued function