A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers

نویسندگان
Onder, Zerrin ID 1
Canak, Ibrahim ID 2
Totur, Umit ID 3

1 Department of Mathematics, Ege University, 35100, Izmir, Turkey

2 Department of Mathematics, Ege University, 35100, Izmir, Turkey

3 Department of Mathematics, Adnan Menderes University, 09100, Aydin, Turkey

doi
10.22111/ijfs.2017.3037
چکیده

In this paper,  we determine necessary and sufficient Tauberian conditions under which convergence in Pringsheim's sense of a double sequence of fuzzy numbers follows from its $(C,1,1)$ summability. These conditions are satisfied if the double sequence of fuzzy numbers is slowly oscillating in different senses. We also construct some interesting double sequences of fuzzy numbers.

کلیدواژه‌ها
Fuzzy numbers, Double sequences, Slow oscillation, Summability $(C, 1, 1)$, Tauberian theorems