Some novel approaches on the (N, p, q) summability of double sequences of fuzzy numbers and its applications
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
University of Sistan and Baluchestan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, our aim is to make a novel interpretation of relation between (N, p, q) method and P-convergence for double sequences of fuzzy numbers. In accordance with this aim, we derive some Tauberian conditions, controlling O-oscillatory behavior of a double sequence of fuzzy numbers in certain senses, from (N, p, q) summability to P-convergence with some restrictions on the weight sequences. As special cases, we indicate that O-condition of Hardy type with respect to (Pm) and (Qn) are Tauberian conditions for (N, p, q) summability under some additional conditions. In the sequel, we prove a fuzzy Korovkin-type approximation theorem by using the (N, p, q) summability method for fuzzy positive linear operators. © 2023, University of Sistan and Baluchestan. All rights reserved.
Açıklama
Anahtar Kelimeler
(N,p,q) summability, convergence in Pringsheim’s sense, Double sequences of fuzzy numbers, fuzzy Korovkin theory, regularly varying sequences, slowly decreasing sequences, slowly oscillating sequences, weighted mean summability method
Kaynak
Iranian Journal of Fuzzy Systems
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
20
Sayı
6
