Abstract
In this paper, we define the weighted mean method \((\overline{N},p,q)\) of double sequences of fuzzy numbers and give necessary and sufficient Tauberian conditions under which convergence in Pringsheim’s sense of a double sequence of fuzzy numbers follows from its \((\overline{N},p,q)\) summability. These conditions are weaker than the weighted analogues of Landau’s conditions and Schmidt’s slow oscillation condition in some senses for two-dimensional case.
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Totur, Ü., Çanak, İ. Tauberian theorems for \((\overline{N},p,q)\) summable double sequences of fuzzy numbers. Soft Comput 24, 2301–2310 (2020). https://doi.org/10.1007/s00500-019-04060-w
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DOI: https://doi.org/10.1007/s00500-019-04060-w