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

Zerrin Önder, İbrahim Çanak, and Ümit Totur. "Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers." Open Mathematics 15.15 (2017): 157-178. <http://eudml.org/doc/288025>.

@article{ZerrinÖnder2017,
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.},
author = {Zerrin Önder, İbrahim Çanak, Ümit Totur},
journal = {Open Mathematics},
keywords = {Double sequences of fuzzy numbers; Slowly oscillating sequences; (C,1,1) summability; Statistical convergence; Tauberian theorems; double sequences of fuzzy numbers; slowly oscillating sequences; $(C,1,1)$ summability; statistical convergence},
language = {eng},
number = {15},
pages = {157-178},
title = {Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers},
url = {http://eudml.org/doc/288025},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Zerrin Önder
AU - İbrahim Çanak
AU - Ümit Totur
TI - Tauberian theorems for statistically (C,1,1) summable double sequences of fuzzy numbers
JO - Open Mathematics
PY - 2017
VL - 15
IS - 15
SP - 157
EP - 178
AB - 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.
LA - eng
KW - Double sequences of fuzzy numbers; Slowly oscillating sequences; (C,1,1) summability; Statistical convergence; Tauberian theorems; double sequences of fuzzy numbers; slowly oscillating sequences; $(C,1,1)$ summability; statistical convergence
UR - http://eudml.org/doc/288025
ER -