Lacunary Statistical Convergence in Measure for Sequences of Fuzzy Valued Functions

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

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