Statistical weighted mean summability of double sequences of fuzzy numbers
Filomat, Tome 35 (2021) no. 13, p. 4483
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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
Classification :
03E72, 40A05, 40G15, 40E05
Keywords: Double sequence of fuzzy numbers, Statistical convergence, Weighted mean method, Tauberian theorem, Fuzzy Korovkin theory
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
@article{10_2298_FIL2113483T,
author = {\"Ozer Talo and Asl{\i}han \c{S}en and H\"usamettin \c{C}o\c{s}kun},
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/}
}
TY - JOUR AU - Özer Talo AU - Aslıhan Şen AU - Hüsamettin Çoşkun TI - Statistical weighted mean summability of double sequences of fuzzy numbers JO - Filomat PY - 2021 SP - 4483 VL - 35 IS - 13 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2113483T/ DO - 10.2298/FIL2113483T LA - en ID - 10_2298_FIL2113483T ER -
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