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.

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 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.

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

scholarly journals Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
S. A. Mohiuddine ◽  
Sunil K. Sharma ◽  
Dina A. Abuzaid
Keyword(s):  
Statistical Convergence ◽  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Normed Spaces ◽  
Lacunary Statistical Convergence ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

We first define the notion of lacunary statistical convergence of order (α,β), and taking this notion into consideration, we introduce some seminormed difference sequence spaces over n-normed spaces with the help of Musielak-Orlicz function M=(Mk) of order (α,β). We also examine some topological properties and prove inclusion relations between the resulting sequence 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 difference sequence spaces defined by an Orlicz function

Filomat ◽  
2003 ◽  
pp. 1-8 ◽  
Author(s):  
Tunay Bilgin
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Lacunary Sequences ◽  
Orlicz Functions ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

In this paper we introduce some new difference sequence spaces combining lacunary sequences and Orlicz functions. We establish some inclusion relations between these spaces.

scholarly journals Generalized Differenceλ-Sequence Spaces Defined by Ideal Convergence and the Musielak-Orlicz Function

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Awad A. Bakery
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Complex Numbers ◽  
Infinite Matrix ◽  
Topological Properties ◽  
Normed Spaces ◽  
Ideal Convergence ◽  
Inclusion Relations ◽  
Difference Sequence Spaces ◽  
The Ideal

We introduced the ideal convergence of generalized difference sequence spaces combining an infinite matrix of complex numbers with respect toλ-sequences and the Musielak-Orlicz function overn-normed spaces. We also studied some topological properties and inclusion relations between these spaces.

scholarly journals Some New Double-Sequence Spaces in 2-Normed Spaces Defined by Ideal Convergence and an Orlicz Function

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Orhan Tug ◽  
Mutlay Dogan ◽  
Abdullah Kurudirek
Keyword(s):  
Orlicz Function ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Normed Spaces ◽  
Ideal Convergence ◽  
Double Sequence Spaces ◽  
Difference Sequence Spaces

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.

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.

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