Tauberian conditions under which statistical convergence follows from statistical summability by weighted mean method in two-normed spaces
Makaleler > Tam Makale · 2023
Yazarlar: İbrahim ÇANAK, Hülya Bakicierler
Miskolc Mathematical Notes, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2023, cilt 24, ss 699-699
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 (x n ) follows from its statistical summability by weighted mean method in a two-normed space.In particular, our Tauberian conditions are satisfied if (x n ) 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.