Tauberian theorems for $$(\overline{N},p,q)$$ summable double sequences of fuzzy numbers
Articles > Article · 2019
Authors: Umit Totur, İbrahim ÇANAK
Soft Computing, Journal Indexed in SCI Expanded, International, WoS, 2019, vol 24, pp 2301-2310
DOI: 10.1007/s00500-019-04060-w
Summary
In this paper, we define the weighted mean method ((N) over bar, 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 ((N) over bar, 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.