Tauberian theorems for statistically (C,1,1) summable double 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.

Keywords

• double sequences of fuzzy numbers
• slowly oscillating sequences
• (c,1,1) summability
• statistical convergence
• tauberian theorems
• 26e50
• 40a05
• 40e05
• 40a35
• 40g05