MMN-3740
Tauberian conditions under which statistical convergence follows from statistical summability by weighted mean method in two-normed spaces
İbrahim Çanak; Hülya Bakıcıerler;Abstract
In this paper, we introduce the statistical weighted mean summability of sequences in two-normed spaces and establish necessary and/or sufficient Tauberian conditions for statistical weighted mean summable sequences to be statistical convergent. The main theorem of this paper is the statistical extension of a Tauberian theorem given in \c{C}anak et al. [Acta Comment. Univ. Tartu. Math. 24, 49-57 (2020)].
Vol. 24 (2023), No. 2, pp. 699-708
DOI: 10.18514/MMN.2023.3740