Open AccessStatistical weighted mean summability of double sequences of fuzzy numbers
Author(s) -
Özer Talo,
Aslıhan Şen,
Hüsamettın Çoşkun
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2113483t
Subject(s) - mathematics , sequence (biology) , fuzzy logic , abelian and tauberian theorems , discrete mathematics , convergence (economics) , fuzzy number , combinatorics , fuzzy set , philosophy , linguistics , genetics , economics , biology , economic growth
In this paper, we present statistical weighted mean ( briefly, (N?,p,q,1,1)) summability method for double sequences of fuzzy numbers and give necessary and sufficient Tauberian conditions under which statistical convergence of a double sequence of fuzzy numbers follows from its statistical (N?,p,q,1,1) summability. Furthermore, we apply our new method of summability to prove a fuzzy Korovkin type approximation theorem for a double sequence of fuzzy positive linear operators.