Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers

Makaleler > Tam Makale · 2017

Yazarlar: Zerrin ONDER, İbrahim ÇANAK, Umit Totur

Open Mathematics, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2017, cilt 15, ss 157-178

DOI: 10.1515/math-2017-0006

Özet

Abstract In this paper, we prove that a bounded double sequence of fuzzy numbers which is statistically convergent is also statistically (C, 1, 1) summable to the same number. We construct an example that the converse of this statement is not true in general. We obtain that the statistically (C, 1, 1) summable double sequence of fuzzy numbers is convergent and statistically convergent to the same number under the slowly oscillating and statistically slowly oscillating conditions in certain senses, respectively.

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