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A note on double lacunary statistical $$sigma$$-convergence of fuzzy numbers
Authors:Ekrem Savaş
Affiliation:1.Department of Mathematics,Istanbul Commerce University,Istanbul,Turkey
Abstract:
Quite recently, Sava? (Appl Math Lett 21:134–141, 2008), defined the lacunary statistical analogue for double sequence (X={X_{k,l}}) of fuzzy numbers as follows: a double sequence (X={X_{k,l}}) is said to be lacunary P-statistically convergent to (X_{0}) provided that for each (epsilon >0)
$ P-lim_{r,s}frac{1}{h_{r,s}}left | {(k,l)in I_{r,s}: d(X_{k,l },X_0)geq epsilon}right|= 0. $
In this paper we introduce and study double lacunary (sigma)-statistical convergence for sequence of fuzzy numbers and also we get some inclusion theorems.
Keywords:
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