Sequence Of Orlicz Functions Research Articles

Linear isomorphic spaces of Cesàro–Nörlund operator, their duals and matrix transformations

Abstract In this article, we introduce and study sequence spaces of Cesàro–Nörlund operators of order n associated with a sequence of Orlicz functions. We obtain some topological properties and Schauder basis of these sequence spaces. Moreover, we compute the α-, β- and γ-duals and the matrix transformations of these newly formed sequence spaces. Finally, we prove that these sequence spaces are of Banach–Saks type p and have a weak fixed-point property.

Generalized Vector-Valued Paranormed Sequence Spaces Determined by a Sequence of Orlicz Functions

Generalized Vector-Valued Paranormed Sequence Spaces Determined by a Sequence of Orlicz Functions

Generalized vector-valued paranormed sequence spaces defined by a sequence of Orlicz functions

UDC 517.9 In this paper, we introduced a class of generalized vector-valued paranormed sequence space X [ E , A , Δ v m , M , p ] by using a sequence of Orlicz functions M = ( M k ) , a non-negative infinite matrix A = [ a n k ] , generalized difference operator Δ v m and bounded sequence of positive real numbers p k with inf k p k > 0 . Properties related to this space are studied under certain conditions. Some inclusion relations are obtained and a result related to subspace with Orlicz functions satisfying Δ 2 -condition has also been proved.

On new modular sequence space defined over 2-normed spaces

In this paper, a new sequence space F(‖.,.‖,M,p,u) is defined by using a sequence of Orlicz functions in 2-normed spaces. Some various properties and some inclusions are also examined on this space.

Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces

We introduce new classes of generalized Orlicz-Garling sequences and Orlicz-Lorentz sequences by using a sequence of Orlicz functions and difference operator. We show that the Orlicz-Garling sequence space admits a unique 1-subsymmetric basis and a 1-dominated block basic sequence in g(mathcal{M},Delta^{(m)}, v, p). We also make an effort to prove that every symmetric normalized block Orlicz-Garling sequence dominates an Orlicz-Lorentz sequence. Finally, we study some geometric properties of these spaces and establish some inclusion relations between spaces.

Generalized Double Analytic Difference Sequence Space Derived Using Double Sequence of Orlicz Functions

Generalized Double Analytic Difference Sequence Space Derived Using Double Sequence of Orlicz Functions

Some generalized double lacunary Zweier convergent sequence spaces

We introduce generalized double lacunary Zweier convergent sequence spaces over \(n\)-normed spaces via a sequence of Orlicz functions. We also make an effort to study some topological properties and inclusion relations between these spaces. Furthermore, we study the concept of double lacunary statistical Zweier convergence over \(n\)-normed spaces.

On Some Real Valued I−Convergent L−Summable Difference Sequence Spaces Defined by Sequences of Orlicz Functions

On Some Real Valued I−Convergent L−Summable Difference Sequence Spaces Defined by Sequences of Orlicz Functions

On rough I- convergent sequence spaces of fuzzy numbers defined by sequences of Orlicz functions and matrix transformation

On rough I- convergent sequence spaces of fuzzy numbers defined by sequences of Orlicz functions and matrix transformation

Some spaces of difference sequences and lacunary statistical convergence in $n$-normed space defined by sequence of Orlicz functions

Some spaces of difference sequences and lacunary statistical convergence in $n$-normed space defined by sequence of Orlicz functions

On /-statistically convergent sequence spaces defined by sequences of Orlicz functions using matrix transformation

Recently Savas and Das [12] introduced the notion of I-statistical convergence of sequences of real numbers. In this article we introduced the sequence spaces WI(S) (M, A, p), W01 (S) (M, A, p) and WI(S) (M, A, p) of real numbers defined by /-statistical convergence using sequences of Orlicz function.We study some basic topological and algebraic properties of these spaces. We investigate some inclusion relations involving these spaces.

Double sequence spaces over n-normed spaces defined by a sequence of Orlicz functions

Abstract In the present paper we introduce double sequence space m 2 ( M , A , ϕ , p , ∥ ⋅ , … , ⋅ ∥ ) defined by a sequence of Orlicz functions over n-normed space. We examine some of its topological properties and establish some inclusion relations. MSC:40A05, 46A45.

An Orlicz extension of difference modular sequence spaces

In this paper we construct some difference new modular sequence spaces defined by a sequence of Orlicz functions over n-normed spaces. We also study several properties relevant to topological structures and interrelationship between these spaces.

Some I-Convergent Sequence Spaces of Fuzzy Numbers Defined by Infinite Matrix

In this paper we introduce and study some new sequence spaces of fuzzy numbers defined by I-convergence using the sequences of Orlicz functions, infinite matrix. We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces.

An Orlicz extension of difference sequences on real linear n-normed spaces

In this paper, we present an extension of some classes of difference sequences by considering them in a base space X, a real linear n-normed space via a sequence of Orlicz functions. We investigate the spaces for linearity, existence of norms and completeness under different conditions. We also show that they are convex spaces and compute their topologically equivalent spaces. Further some results on equivalence of various norms on such extended spaces are presented.MSC:40A05, 46B20, 46B99, 46A19, 46A99.

Difference entire sequence spaces of fuzzy numbers

In the present paper we introduce difference entire sequence spaces of fuzzy numbers defined by a sequence of Orlicz functions. We also make an effort to study some topological properties and inclusion relations between these spaces.

Some new generalized classes of dierence sequences of fuzzy numbers dened by a sequence of Orlicz functions

Submitted by: Marian Mat loka Abstract: In the present paper we introduce some new generalized classes of dierence sequence spaces of fuzzy numbers dened by a se- quence of Orlicz functions. We also make an eort to study some topolog- ical properties and prove some inclusion relations between these spaces.

On some A I -convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

In this paper, using the difference operator of order m, the sequences of Orlicz functions, and an infinite matrix, we introduce and examine some classes of sequences of fuzzy numbers defined by I-convergence. We study some basic topological and algebraic properties of these spaces. In addition, we shall establish inclusion theorems between these sequence spaces.MSC:40A05, 40G15, 46A45.

Some generalized difference double sequence spaces defined by a sequence of Orlicz-functions

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.

On Some New Generalized Difference Sequence Spaces Defined By A Sequence Of Orlicz Functions

On Some New Generalized Difference Sequence Spaces Defined By A Sequence Of Orlicz Functions