On a New BVσ I-Convergent Double Sequence Spaces

Analysis, 2017

The space BV σ was introduced and studied by Mursaleen [21]. In the present article we study the double sequence spaces (BV I σ (M, p)), BV I σ (M, p) and (∞ BV I σ (M, p)) with the help of the space BV σ and an Orlicz function M, where p = (p ij) is the double sequence of strictly positive real numbers. We study some of its properties and prove some inclusion relations related to these new spaces.

Theory and Applications of Mathematics Computer Science, 2015

In this article we study 0 BV I σ (M), BV I σ (M) and ∞ BV I σ (M) sequence spaces with the help of BV σ space see (Mursaleen, 1983b) and an Orlicz function M. we study some topological and algebraic properties of these spaces and prove some inclusion relations.

Journal of Mathematical Analysis and Applications, 2006

In this paper we introduce some new double sequence spaces using the notions of invariant mean and Orlicz function. We also examine some properties of the resulting sequence spaces.

International Journal of Analysis, 2013

The sequence space BV was introduced and studied by . In this article we introduce the sequence space 2 BV and study some of its properties and inclusion relations.

Global Journal of Mathematical Analysis, 2014

In this article we introduce and study 0 BV I σ (M, p), BV I σ (M, p) and ∞ BV I σ (M, p) sequence spaces where p = (p k) is the sequence of strictly positive real numbers with the help of BV σ space [see [23]] and an Orlicz function M. We study some topological and algebraic properties and decompostion theorem. Further we prove some inclusion relations related to these new spaces.

Computers & Mathematics With Applications, 2008

The purpose of this paper is to introduce and study an idea of strong double (A σ )-convergence sequences with respect to an Orlicz function. In addition, we define the double (A σ )-statistical convergence and establish some connections between the spaces of strong double (A σ )-convergence sequences and the space of double (A σ )-statistical convergence.

isara solutions, 2020

In this paper we introduce some new vector valued double sequence spaces defined by a double Orlicz function and study their different properties like solidity, symmetricity, monotony etc. We prove some inclusion results.

Journal of Function Spaces and Applications, 2013

We introduce a new space of double sequences related to -absolute convergent double sequence space, combining an Orlicz function and an infinity double matrix. We study some properties of and obtain some inclusion relations involving .

2011

In this paper we introduce strongly (V2; 2;M;p) summable double vsequence spaces via Orlicz function and examine some properties of the result- ing these spaces. Also we give natural relationship between these spaces and S 2 statistical convergence.

Kyungpook Mathematical Journal, 2008

In this article we introduce some difference sequence spaces defined by Orlicz function and study different properties of these spaces like completeness, solidity, symmetricity etc. We establish some inclusion results among them.