Statistical weighted mean summability of double sequences of fuzzy numbers
Filomat, Tome 35 (2021) no. 13, p. 4483

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DOI

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
DOI : 10.2298/FIL2113483T
Classification : 03E72, 40A05, 40G15, 40E05
Keywords: Double sequence of fuzzy numbers, Statistical convergence, Weighted mean method, Tauberian theorem, Fuzzy Korovkin theory
Özer Talo; Aslıhan Şen; Hüsamettin Çoşkun. Statistical weighted mean summability of double sequences of fuzzy numbers. Filomat, Tome 35 (2021) no. 13, p. 4483 . doi: 10.2298/FIL2113483T
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     title = {Statistical weighted mean summability of double sequences of fuzzy numbers},
     journal = {Filomat},
     pages = {4483 },
     year = {2021},
     volume = {35},
     number = {13},
     doi = {10.2298/FIL2113483T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2113483T/}
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