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

نویسندگان

Ibrahim Canak Department of Mathematics, Ege University, 35100, Izmir, Turkey

Umit Totur Department of Mathematics, Adnan Menderes University, 09100, Aydin, Turkey

Zerrin Onder Department of Mathematics, Ege University, 35100, Izmir, Turkey

چکیده مقاله:

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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