On some new generalized difference sequence spaces on seminormed spaces defined by a sequence of Orlicz functions

2011 ◽  
Vol 61 (2) ◽  
Author(s):  
Çiğdem Bektaş
Keyword(s):  
Linear Space ◽  
Sequence Space ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Orlicz Functions ◽  
Inclusion Relations ◽  
Complex Linear ◽  
Difference Sequence Spaces

AbstractIn this paper we define the sequence space ℓ M(Δυm, p, q, s) on a seminormed complex linear space, by using a sequence of Orlicz functions. We study some algebraic and topological properties. We prove some inclusion relations involving ℓ M(Δυm, p, q, s). spaces

Generalized difference sequence spaces on seminormed space defined by Orlicz functions

2008 ◽  
Vol 58 (3) ◽  
Author(s):  
Binod Tripathy ◽  
Yavuz Altin ◽  
Mikail Et
Keyword(s):  
Linear Space ◽  
Sequence Space ◽  
Orlicz Function ◽  
Difference Sequence ◽  
Topological Properties ◽  
Orlicz Functions ◽  
Inclusion Relations ◽  
Seminormed Space ◽  
Complex Linear ◽  
Difference Sequence Spaces

AbstractIn this paper we define the sequence space ℓM (Δm, p, q, s) on a seminormed complex linear space by using an Orlicz function. We study its different algebraic and topological properties like solidness, symmetricity, monotonicity, convergence free etc. We prove some inclusion relations involving ℓM (Δm, p, q, s).

scholarly journals Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Kuldip Raj ◽  
Abdullah Alotaibi
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Double Difference ◽  
Difference Sequence ◽  
Topological Properties ◽  
Orlicz Functions ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

The aim of this paper is to introduce some new double difference sequence spaces with the help of the Musielak-Orlicz functionℱ=(Fjk)and four-dimensional bounded-regular (shortly,RH-regular) matricesA=(anmjk). We also make an effort to study some topological properties and inclusion relations between these double difference sequence spaces.

SOME DIFFERENCE SEQUENCE SPACES GENERATED BY DE LA VALLÉE-POUSSIN MEAN

2013 ◽  
Vol 06 (02) ◽  
pp. 1350018
Author(s):  
P. D. Srivastava ◽  
Atanu Manna
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
Modular Structure ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Space ◽  
De La Vallée Poussin ◽  
Difference Sequence Spaces

A difference sequence space using φ-function and involving the concept of de la Vallée-Poussin mean is introduced. Inclusion relations, structural and topological properties of this space are investigated. By introducing a modular structure, the equality of the countably and uniformly countably modulared spaces is obtained.

Generalized difference sequence space defined by |$$ \bar N $$, p k| summability and an Orlicz function in seminormed space

2010 ◽  
Vol 60 (2) ◽  
Author(s):  
Vinod Bhardwaj ◽  
Indu Bala
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Space ◽  
Seminormed Space ◽  
Complex Linear ◽  
Appl Math

AbstractThe object of this paper is to introduce a new difference sequence space which arise from the notions of |$$ \bar N $$, p k| summability and an Orlicz function in seminormed complex linear space. Various algebraic and topological properties and certain inclusion relations involving this space have been discussed. This study generalizes results: [ALTIN, Y.—ET, M.—TRIPATHY, B. C.: The sequence space |$$ \bar N_p $$|(M, r, q, s) on seminormed spaces, Appl. Math. Comput. 154 (2004), 423–430], [BHARDWAJ, V. K.—SINGH, N.: Some sequence spaces defined by |$$ \bar N $$, p n| summability, Demonstratio Math. 32 (1999), 539–546] and [BHARDWAJ, V. K.—SINGH, N.: Some sequence spaces defined by |$$ \bar N $$, p n| summability and an Orlicz function, Indian J. Pure Appl. Math. 31 (2000), 319–325].

scholarly journals On Some Classes of Double Difference Sequences of Interval Numbers

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Kuldip Raj ◽  
Abdullah Alotaibi
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Double Difference ◽  
Difference Sequence ◽  
Topological Properties ◽  
Interval Numbers ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Interval Valued ◽  
Difference Sequence Spaces

The aim of this paper is to introduce some interval valued double difference sequence spaces by means of Musielak-Orlicz functionM=(Mij). We also determine some topological properties and inclusion relations between these double difference sequence spaces.

scholarly journals New Difference Sequence Spaces Defined by Musielak-Orlicz Function

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
M. Mursaleen ◽  
Sunil K. Sharma ◽  
S. A. Mohiuddine ◽  
A. Kılıçman
Keyword(s):  
Normed Space ◽  
Difference Operator ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

We introduce new sequence spaces by using Musielak-Orlicz function and a generalizedB∧ μ-difference operator onn-normed space. Some topological properties and inclusion relations are also examined.

scholarly journals On some topological properties of generalized difference sequence spaces

2000 ◽  
Vol 24 (11) ◽  
pp. 785-791 ◽  
Author(s):  
Mikail Et
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Difference Sequence Spaces

We obtain some topological results of the sequence spacesΔm(X), whereΔm(X)={x=(xk):(Δmxk)∈X},   (m∈ℕ), andXis any sequence space. We compute thepα-,pβ-, andpγ-duals ofl∞,c, andc0and we investigate theN-(or null) dual of the sequence spacesΔm(l∞),   Δm(c), andΔm(c0). Also we show that any matrix map fromΔm(l∞)into aBK-space which does not contain any subspace isomorphic toΔm(l∞)is compact.

SOME LACUNARY DIFFERENCE SEQUENCE SPACES DEFINED BY MUSIELAK–ORLICZ FUNCTIONS

2011 ◽  
Vol 04 (04) ◽  
pp. 613-626 ◽  
Author(s):  
Bipan Hazarika
Keyword(s):  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Orlicz Functions ◽  
Difference Sequence Spaces

In this article we introduce the lacunary difference sequence spaces defined by Musielak–Orlicz functions and study their algebraic and topological properties. Also we obtain some relations related to these spaces.

On Some New Seminormed Sequence Spaces Defined by a Sequence of Orlicz Functions

2010 ◽  
Vol 65 (11) ◽  
pp. 919-923
Author(s):  
Çiğdem A. Bektaş ◽  
Gülcan Atıci
Keyword(s):  
Sequence Spaces ◽  
Difference Sequence ◽  
Orlicz Functions ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

In this paper, we define the new generalized difference sequence spaces c0(Δmv ,M,u, p,q), c(Δmv ,M,u, p,q), and l∞(Δmv ,M,u, p,q).We also study some inclusion relations between these spaces

scholarly journals New Classes of Generalized Seminormed Difference Sequence Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
M. Mursaleen ◽  
A. Alotaibi ◽  
Sunil K. Sharma
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

The purpose of this paper is to introduce new classes of generalized seminormed difference sequence spaces defined by a Musielak-Orlicz function. We also study some topological properties and prove some inclusion relations between resulting sequence spaces.

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