Double sequence spaces over $n$-normed spaces

Lobachevskii Journal of Mathematics, 2012

In the present paper we introduced double sequence spaces defined by a sequence of Orlicz functions M = (M k,l) over n-normed spaces and examine some properties of the resulting sequence spaces.

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.

We generalize some sequence spaces from single to double, we study some topological properties of these double sequence spaces by using ideal convergence, difference sequence spaces, and an Orlicz function in 2-normed spaces, and we give some results related to these sequence spaces.

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 .

Cubo (Temuco), 2012

In the present paper we introduce some generalized difference double sequence spaces defined by a sequence of Orlicz-functions. We study some topological properties and some inclusion relations between these spaces. We also make an effort to study these properties over n-normed spaces.

2009

In this article we introduce some vector valued double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetricity, completeness etc. and prove some inclusion results. c 2009 Mathematical Institute Slovak Academy of Sciences 2000 M a t h e m a t i c s S u b j e c t C l a s s i f i c a t i o n: Primary 40A05, 40B05, 46E30. K e y w o r d s: Orlicz function, completeness, seminorm, regular convergence, solid space.

Theory and Applications of Mathematics Computer Science, 2013

The main aim of this paper is to define the generalized difference double sequence spaces 2 W I (M, ., ..., . , ∆ n m , p), 2 W I 0 (M, ., ..., . , ∆ n m , p) and 2 W I ∞ (M, ., ..., . , ∆ n m , p) defined over a n-normed space (X, ., ..., . ). Here we also study their properties and establish some inclusion relations.

Journal of Mathematical and Computational Science, 2012

Journal of Advanced Studies in Topology, 2011

In this paper we introduce some difference double sequence spaces defined by Orlicz function and study different properties of these spaces and also establish some inclusion results among them.

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics

In this article, the author defines the generalized difference double paranormed sequence spaces c 2 (∆ m , M, p, q, s), c 2 o (∆ m , M, p, q, s) and l 2 ∞ (∆ m , M, p, q, s) defined over a seminormed sequence space (X, q). The author also studies their properties and inclusion relations between them.