Tauberian theorems for ((N)over-bar, p, q) summable double sequences of fuzzy numbers


Totur U., ÇANAK İ.

SOFT COMPUTING, cilt.24, ss.2301-2310, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 24 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00500-019-04060-w
  • Dergi Adı: SOFT COMPUTING
  • Sayfa Sayıları: ss.2301-2310

Özet

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.