Tauberian Conditions Under Which Statistical Convergence Follows From Statistical Summability By Weighted Mean Method in Two-Normed Spaces
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Miskolc Inst Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we introduce the statistical summability by the weighted mean method in a two-normed space and establish necessary and sufficient Tauberian conditions under which statistical convergence of a sequence (xn) follows from its statistical summability by weighted mean method in a two-normed space. In particular, our Tauberian conditions are satisfied if (xn) is statistically slowly oscillating in a two-normed space. The main theorem of this paper is the statistical extension of a Tauberian theorem in C, anak et al. [Acta Comment. Univ. Tartu. Math. 24, 49-57 (2020)].
Açıklama
Anahtar Kelimeler
statistical convergence, Tauberian conditions, statistical summability (N, p), two-normed spaces, statistically slow oscillation, Sequences, Theorems
Kaynak
Miskolc Mathematical Notes
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
24
Sayı
2
