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On | A , δ | k -summability of orthogonal series

Xhevat Z. Krasniqi (2012)

Mathematica Bohemica

In the paper, we prove two theorems on | A , δ | k summability, 1 k 2 , of orthogonal series. Several known and new results are also deduced as corollaries of the main results.

On matrix rapid filters

Winfried Just, Peter Vojtáš (1997)

Fundamenta Mathematicae

Galois-Tukey equivalence between matrix summability and absolute convergence of series is shown and an alternative characterization of rapid ultrafilters on ω is derived.

On some BK spaces.

De Malafosse, Bruno (2003)

International Journal of Mathematics and Mathematical Sciences

On some consequences of a generalized continuity

Pratulananda Das, Ekrem Savaş (2014)

Archivum Mathematicum

In normed linear space settings, modifying the sequential definition of continuity of an operator by replacing the usual limit " lim " with arbitrary linear regular summability methods 𝐆 we consider the notion of a generalized continuity ( ( 𝐆 1 , 𝐆 2 ) -continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.

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