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On Wijsman I2-lacunary statistical convergence for double set sequences

Kіşі Ö.

Fasciculi Mathematici

2016

Nr 57

91--104

The aim of present work is to present some inclusion relations between the concepts of Wijsman I2-lacunary statistical convergence and Wijsman strongly I2-lacunary convergence for double sequences of sets. Also we study the concepts of Wijsman I2-lacunary statistical convergence, Wijsman I2- lacunary statistical convergence double sequences of sets and investigate the relationship among them.

The random of lacunary statistical on χ2 over p-metric spaces defined by Musielak

Subramanian N., Babu R., Thirunavukkarasu P.

Journal of Mathematics and Applications

2015

Vol. 38

133--150

Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. Recently Mohiuddine and Aiyup defined the notion of lacunary statistical convergence and lacunary statistical Cauchy in random 2-normed spaces. In this paper, we define and study the notion of lacunary statistical convergence and lacunary of statistical Cauchy sequences in random on χ2 over p- metric spaces dfined by Musielak and prove some theorems which generalizes Mohiuddine and Aiyup results.

The Schur and Steinhaus Theorems for 4-Dimensional Infinite Matrices

Natarajan P. N.

Commentationes Mathematicae

2014

Vol 54, No. 2

159--165

This paper is a sequel to [2]. Throughout this paper, entries of double sequences, double series and 4-dimensional infinite matrices are real or complex numbers. We prove the Schur and Steinhaus theorems for 4-dimensional infinite matrices.

Some generalized spaces of vector valued double sequences defined by a modulus

Subramanian N.

Fasciculi Mathematici

2013

Nr 51

159--172

In this paper we generalize the xf2 by introducing the sequence space xfmn2 (Δ(ηϒ)μ,p,q,r) and exhibit some general properties of the space.

On asymmetric I and I∗-divergence

Ghosal S., Pal S. K.

Demonstratio Mathematica

2013

Vol. 46, nr 1

137--147

In this paper we introduce and study the concepts of I-divergence and I∗-divergence of sequences as well as double sequences in an asymmetric metric spaces. We investigate the interrelationship between I-divergence and I∗-divergence and show that they are equivalent under some condition and prove some basic properties of these concepts.

The Schur and Steinhaus Theorems for 4-Dimensional Matrices in Ultrametric Fields

Natarajan P.N.

Commentationes Mathematicae

2011

Vol. 51, [Z] 2

203-209

Throughout this paper, K denotes a ds-complete, non-trivially valued, ultrametric field. Entries of double sequences, double series and 4-dimensional matrices are in K. We prove the Schur and Steinhaus theorems for 4-dimensional matrices in such fields.