Canak, I., Totur, U., Onder, Z. (2017). A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers. Iranian Journal of Fuzzy Systems, 14(1), 61-75.

Ibrahim Canak; Umit Totur; Zerrin Onder. "A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers". Iranian Journal of Fuzzy Systems, 14, 1, 2017, 61-75.

Canak, I., Totur, U., Onder, Z. (2017). 'A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers', Iranian Journal of Fuzzy Systems, 14(1), pp. 61-75.

Canak, I., Totur, U., Onder, Z. A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers. Iranian Journal of Fuzzy Systems, 2017; 14(1): 61-75.

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

^{1}Department of Mathematics, Ege University, 35100, Izmir, Turkey

^{2}Department of Mathematics, Adnan Menderes University, 09100, Aydin, Turkey

Abstract

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.

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