Generalized Wijsman rough Weierstrass statistical six dimensional triple geometric difference sequence spaces of fractional order defined by Musielak-Orlicz function of interval numbers
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Balkan Society of Geometers
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We generalized the concepts in probability of Wijsman rough lacunary statistical by introducing the interval numbers of Weierstrass of fractional order, where ? is a proper fraction and ? = (?mnk) is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator involving Wijsman rough lacunary sequence ? of interval numbers and arbitrary sequence p = (prst) of strictly positive real numbers and investigate the topological structures of related six dimensional triple geometric difference sequence spaces of interval numbers. In this study, we consider a generalization for Weierstrass rough six dimensional triple geometric difference sequence of these metric spaces by taking a ? function, satisfying the following conditions. Let ?m,n,k be a positive function for all m, n, k ? N such that (i) lim m,n,k?? ?mnk = 0, (ii) ?3?mnk = ?mnk - ?m,n+1,k - ?m,n,k+1 + ?m,n+1,k+1 - ?m+1,n,k + ?m+1,n+1,k + ?m+1,n,k+1 - ?m+1,n+1,k+1 ? 0: or ?mnk = 1. Therefore, according to class of functions which satisfying the conditions (i) and (ii) with metric spaces of six dimensional triple geometric difference sequence spaces of interval numbers defined by a Musielak-Orlicz function. © Balkan Society of Geometers, Geometry Balkan Press 2019.
Açıklama
Anahtar Kelimeler
Analytic sequence, Chi sequence, Geometric difference, Interval numbers, Musielak-Orlicz function, Six dimensional matrix lacunary statistical convergence, Triple sequences, Weierstrass gamma function, Wijsman rough convergence
Kaynak
Applied Sciences
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
21
