Double Statistical Convergence Research Articles

Multidimensional Statistical Convergence in Credibility Theory

The purpose of this article is to present the concepts of double statistical convergence in credibility and [Formula: see text]-double statistical convergence in credibility in pringsheim sense. By using these definitions we present a natural multidimensional extension of Credibility theory via Summability methods.

Generalized Double Statistical Convergence Sequences on Ideals in Neutrosophic Normed Spaces

In this present research, having view in the Neutrosophic norm (u, v, w), which we presented I2-lacunary statistical convergence and I2-lacunary convergence strongly, looked into interactions between them, and made a few findings regarding the respective categories. At least went further to look at how both of such case approaches relate to I2-statistical convergence within the relevant Neutrosophic normed space.

Double Lacunary Statistical Convergence of Order \(\alpha\) in Topological Groups via Ideal

Recently, \(\mathcal{I}\)-lacunary double statistical convergence in topological groups is presented by Savas [31]. In this paper, we extend the concepts of \(\mathcal{I}\)-double statistical convergence and \(\mathcal{I}\)-double lacunary statistical convergence to the concepts of \(\mathcal{I}\)-double statistical convergence and \(\mathcal{I}\)-double lacunary statistical convergence of order \(\alpha\), \(0 <\alpha \leq 1\). We also investigate some inclusion relations between \(\mathcal{I}\)-double statistical of order \(\alpha\) and \(\mathcal{I}\)-double lacunary double statistical convergence of order \(\alpha\).

On \(\mathcal{I}\)-Lacunary Double Statistical Convergence of Weight \(g\)

In this paper, our aim is to introduce new notions, namely, \(\mathcal{I}\)-statistical double convergence of weight \(g\) and \(\mathcal{I}\)-lacunary double statistical convergence of weight \(g\). We mainly investigate their relationship and also make some observations about these classes.

ℐ $$ \mathrm{\mathcal{I}} $$ λ-Double Statistical Convergence of Order α in Topological Groups

We introduce a new notion, namely, the notion of $$ \mathrm{\mathcal{I}} $$ λ-double statistical convergence of order α in topological groups. Thus, we investigate certain inclusion relations between $$ \mathrm{\mathcal{I}} $$ -double statistical and $$ \mathrm{\mathcal{I}} $$ λ –double statistical convergence of order α in topological groups. We also study many other related concepts.

On Generalized Double Statistical Convergence of Order α in Intuitionistic Fuzzy Normed Spaces

Our goal in this work is to introduce the notion V , λ ( I ) 2 -summability and ideal λ-double statistical convergence of order α with respect to the intuitionistic fuzzy norm μ , v . We also make some observations about these spaces and prove some inclusion relations.

On certain double A-summability methods

The aim of this paper is to continue our investigations in line of our recent paper, Savas [24] and [26]. We introduce the notion of AI- double statistical convergence which includes the new summability methods studied in [24] and [23] as special cases and make certain observations on this new and more general summability method.

Some double sequence spaces of interval numbers defined by Orlicz function

In this paper we introduce some interval valued double sequence spaces defined by Orlicz function and study different properties of these spaces like inclusion relations, solidity, etc. We establish some inclusion relations among them. Also we introduce the concept of double statistical convergence for interval number sequences and give an inclusion relation between interval valued double sequence spaces.

On two-valued measure and double statistical convergence in 2-normed spaces

In this paper we introduce some new double difference lacunary sequence spaces using Orlicz functions, generalized double difference sequences and a two-valued measure μ in 2-normed spaces, and we also examine some of their properties.

On generalized double statistical convergence in a random 2-normed space

Recently, the concept of statistical convergence has been studied in 2-normed and random 2-normed spaces by various authors. In this paper, we shall introduce the concept of λ-double statistical convergence and λ-double statistical Cauchy in a random 2-normed space. We also shall prove some new results. MSC: 40A05; 40B50; 46A19; 46A45