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.
@article{bwmeta1.element.doi-10_1515_math-2017-0006,
author = {Zerrin \"Onder and \.Ibrahim \c Canak and \"Umit Totur},
title = {Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers},
journal = {Open Mathematics},
volume = {15},
year = {2017},
zbl = {06704092},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2017-0006}
}
Zerrin Önder; İbrahim Çanak; Ümit Totur. Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers. Open Mathematics, Tome 15 (2017) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2017-0006/