Tauberian theorems for statistically convergent double sequences of fuzzy numbers

2017 ◽  
Vol 32 (3) ◽  
pp. 2617-2624 ◽  
Author(s):  
Özer Talo ◽  
Funda Bayazit
Keyword(s):  
Fuzzy Numbers ◽  
Tauberian Theorems ◽  
Double Sequences ◽  
Sequences Of Fuzzy Numbers

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

2017 ◽  
Vol 15 (1) ◽  
pp. 157-178 ◽  
Author(s):  
Zerrin Önder ◽  
İbrahim Çanak ◽  
Ümit Totur
Keyword(s):  
Fuzzy Numbers ◽  
Double Sequence ◽  
Tauberian Theorems ◽  
Double Sequences ◽  
Sequences Of Fuzzy Numbers

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.

scholarly journals Tauberian theorems for weighted mean statistical summability of double sequences of fuzzy numbers

2021 ◽  
Vol 25 (2) ◽  
pp. 175-187
Author(s):  
Hemen Dutta ◽  
Jyotishmaan Gogoi
Keyword(s):  
Statistical Convergence ◽  
Fuzzy Numbers ◽  
Tauberian Theorems ◽  
Double Sequences ◽  
Weighted Mean ◽  
Tauberian Conditions ◽  
Weighted Means ◽  
Sequences Of Fuzzy Numbers

We discuss Tauberian conditions under which the statistical convergence of double sequences of fuzzy numbers follows from the statistical convergence of their weighted means. We also prove some other results which are necessary to establish the main results.

scholarly journals ROUGH CONVERGENCE OF DOUBLE SEQUENCES OF FUZZY NUMBERS

2020 ◽  
Vol 10 (4) ◽  
pp. 1335-1342
Author(s):  
Babaarslan Funda ◽  
◽  
A. Nïhal Tuncer ◽  
Keyword(s):  
Fuzzy Numbers ◽  
Double Sequences ◽  
Sequences Of Fuzzy Numbers
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