On certain generalized matrix methods of convergence in $(\ell)$-groups

Rok, strany: 2017, 929 - 938

We introduce a convergence of weight $g:\mathbb{N} \to [{0,∞})$ where $g(n) \to ∞$ and $n/g(n) \nrightarrow 0$ with respect to a summability matrix method $A$ for sequences (which generalizes the notion of $A$-convergence of order $α$, $0 < α≤1$ [BOCCUTO, A.—DAS, P.: \textit{On matrix methods of convergence of order $(α)$ in $(\ell)$-groups}, Filomat \textbf{29} (2015), 2069–2077] in a $(\ell)$-group. We prove some basic results including a Cauchy-type criterion. Finally a closedness result for the space of such convergent sequences is proved.

ISO 690:

Das, P., Savaş, E. 2017. On certain generalized matrix methods of convergence in $(\ell)$-groups. In Mathematica Slovaca, vol. 67, no.4, pp. 929-938. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0021

APA:

Das, P., Savaş, E. (2017). On certain generalized matrix methods of convergence in $(\ell)$-groups. Mathematica Slovaca, 67(4), 929-938. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0021