Generalized weighted random convergence in probability

Ghosal, Sanjoy

doi:10.1016/j.amc.2014.10.056

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Cited by 15 publications

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“…Then Karakaya [7] defined weighted αβ -statistical convergence and summability for real sequences. Recently Ghoshal [12] has introduced weighted random convergence in probability.…”

Section: Preliminariesmentioning

confidence: 99%

Some characterizations on weighted $$\beta \gamma $$ β γ -statistical convergence of fuzzy functions of order $$\theta $$ θ

Ojha

Srivastava

2016

J. Appl. Math. Comput.

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Based on the concept of new type of statistical convergence defined by Aktuglu, we have introduced the weighted αβ -statistical convergence of order θ in case of fuzzy functions and classified it into pointwise, uniform and equi-statistical convergence. We have checked some basic properties and then the convergence are investigated in terms of their α-cuts. The interrelation among them are also established. We have also proved that continuity, boundedness etc are preserved in the equi-statistical sense under some suitable conditions, but not in pointwise sense.

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“…Then Karakaya [7] defined weighted αβ -statistical convergence and summability for real sequences. Recently Ghoshal [12] has introduced weighted random convergence in probability.…”

Section: Preliminariesmentioning

confidence: 99%