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

Document Type: Research Paper

Authors

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.

Keywords


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