On some new generalized difference sequence spaces defined by a sequence of moduli

2011 ◽  
Vol 61 (5) ◽  
Author(s):  
Gülcan Atici ◽  
Çiĝdem Bektaş
Keyword(s):  
Sequence Spaces ◽  
Difference Sequence ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

AbstractIn this paper, we define the new generalized difference sequence spaces [V, λ, F, p, q]0(Δvm), [V, λ, F, p, q]1(Δvm) and [V, λ, F, p, q]∞(Δvm). We also study some inclusion relations between these 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 On some generalized difference sequences with respect to a modulus function

Filomat ◽  
2003 ◽  
pp. 23-33 ◽  
Author(s):  
Mikail Et ◽  
Yavuz Altin ◽  
Hifsi Altinok
Keyword(s):  
Banach Space ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

The idea of difference sequence spaces was intro- duced by Kizmaz [9] and generalized by Et and Colak [6]. In this paper we introduce the sequence spaces [V, ?, f, p]0 (?r, E), [V, ?, f, p]1 (?r, E), [V, ?, f, p]? (?r, E) S? (?r, E) and S?0 (?r, E) where E is any Banach space, examine them and give various properties and inclusion relations on these spaces. We also show that the space S? (?r, E) may be represented as a [V, ?, f, p]1 (?r, E)space.

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 Some Generalized Difference Sequence Spaces Defined by a Sequence of Moduli inn-Normed Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Abdullah Alotaibi ◽  
Kuldip Raj ◽  
S. A. Mohiuddine
Keyword(s):  
Sequence Spaces ◽  
Infinite Matrix ◽  
Difference Sequence ◽  
Normed Spaces ◽  
Ideal Convergence ◽  
Inclusion Relations ◽  
Difference Sequence Spaces

We introduce some new generalized difference sequence spaces by means of ideal convergence, infinite matrix, and a sequence of modulus functions overn-normed spaces. We also make an effort to study several properties relevant to topological, algebraic, and inclusion relations between these spaces.

scholarly journals Strongly almost convergent generalized difference sequences associated with multiplier sequences

2007 ◽  
Vol 57 (4) ◽  
Author(s):  
Ayhan Esi ◽  
Binod Tripathy
Keyword(s):  
Statistical Convergence ◽  
Sequence Spaces ◽  
Complex Numbers ◽  
Difference Sequence ◽  
Difference Sequences ◽  
Inclusion Relations ◽  
Difference Sequence Spaces ◽  
Convergent Sequences

AbstractLet Λ = (λk) be a sequence of non-zero complex numbers. In this paper we introduce the strongly almost convergent generalized difference sequence spaces associated with multiplier sequences i.e. w 0[A,Δm,Λ,p], w 1[A,Λm,Λ,p], w ∞[A,Δm,Λ,p] and study their different properties. We also introduce ΔΛm-statistically convergent sequences and give some inclusion relations between w 1[Δm,λ,p] convergence and ΔΛm-statistical convergence.

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.

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.

scholarly journals Strongly Almost Lacunary -Convergent Sequences

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Adem Kılıçman ◽  
Stuti Borgohain
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Inclusion Relations ◽  
Difference Sequence Spaces ◽  
Convergent Sequences

We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.

scholarly journals Generalized Lacunary Statistical Difference Sequence Spaces of Fractional Order

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Ugur Kadak
Keyword(s):  
Fractional Order ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Fixed Sequence ◽  
Related Sequence ◽  
Lacunary Sequences ◽  
Lacunary Statistical Convergence ◽  
Inclusion Relations ◽  
The Relationship ◽  
Difference Sequence Spaces

We generalize the lacunary statistical convergence by introducing the generalized difference operatorΔναof fractional order, whereαis a proper fraction andν=(νk)is any fixed sequence of nonzero real or complex numbers. We study some properties of this operator and investigate the topological structures of related sequence spaces. Furthermore, we introduce some properties of the strongly Cesaro difference sequence spaces of fractional order involving lacunary sequences and examine various inclusion relations of these spaces. We also determine the relationship between lacunary statistical and strong Cesaro difference sequence spaces of fractional order.

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