Double Sequence Spaces Defined by a Double Orlicz Function

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.

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.

Boletim da Sociedade Paranaense de Matemática, 2013

In this article we define some vector valued multiple sequence space defined by Orlicz function. We study some of their properties like solidness, symmetry, completeness etc and prove some inclusion results.

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.

Fasciculi Mathematici, 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.

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.

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.

2021

In this research paper, we will discuss about the construction of the sequence spaces, viz.,l∞, c, c0 sequence spaces. The algebraic and topological properties of these spaces are also discussed in detail. Further, some basic definitions of particular type of sequence spaces are given in this paper. We will also define new sequence spaces as double difference sequence spaces using the Orlicz function and paranorm. We proved that all the new double difference sequence spaces are complete normed spaces. Some inclusion relations have been proved for new sequence 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.

MATEMATIKA, 2011

In this article, the author defines the generalized difference double paranormed sequence spaces c2 (∆ m, M, p, q, s), c2 o (∆ m, M, p, q, s) and l2∞(∆ m, M, p, q, s) defined over a seminormed sequence space (X, q). The author also studies their properties and ...