A Tauberian theorem for $(C,1,1)$ summable double sequences of fuzzy numbers
Articles > Article · 2017
Authors: İbrahim ÇANAK, Ümi̇t Totur, Zerrin Önder
Iranian journal of fuzzy systems, International, WoS, 2017, vol 14, pp 61-75
Summary
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.