The σ-convergence and σ-core of double sequences

The Cesáro Core of Double Sequences

and Applied Analysis 3 where σ s σ σj−1 s . In this case, we write σ − limx . By V 2 σ , we denote the set of all σ-convergent and bounded double sequences. One can see that in contrast to the case for single sequences, a convergent double sequence need not be σ-convergent. But every bounded convergent double sequence is σ-convergent. So, c∞ 2 ⊂ V 2 σ ⊂ ∞ 2 . In the case σ i i 1, σ-convergence ...

A -double Sequence Spaces via Orlicz Functions and Double Statistical Convergence

Abstract – The aim of this paper is to introduce and study a new concept of strong double Δ ) A ( σ convergence sequences with respect to an Orlicz function, and some properties of the resulting sequence spaces were also examined. In addition, we define the Δ ) A ( σ -statistical convergence and establish some connections between the spaces of strong double Δ ) A ( σ -convergence sequences and ...

δ-Double Derivations on C*-Algebras

$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers

In this paper, we introduce and study the concepts of $mathcal{I}_2$-convergence, $mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{I}_2$ denotes the ideal of subsets of $mathbb N times mathbb N$. Also, we study some properties and relations of them.

σ-Normality of Topological Spaces