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 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 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 On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δnm-statistical convergence

2012 ◽  
Vol 20 (1) ◽  
pp. 417-430 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Hemen Dutta
Keyword(s):  
Statistical Convergence ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Orlicz Functions ◽  
The Relationship ◽  
Difference Sequence Spaces ◽  
Convergent Sequences

Abstract In this article, we introduce the lacunary difference sequence spaces w0(M, θ, Δnm, p, q), w1(M, θ, Δnm, p, q) and w∞(M, θ, Δnm, p, q) using a sequence M = (Mk) of Orlicz functions and investigate some relevant properties of these spaces. Then, we define and study the notion of q-lacunary Δnm-statistical convergent sequences. Further, we study the relationship between q-lacunary n m-statistical convergent sequences and Δnm the spaces w0(M, θ, Δnm, p, q) and w1(M, θ, Δnm, p, q).

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.

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 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 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 Difference Sequence Spaces of Invariant Means Defined by Ideal and Modulus Function

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Sudhir Kumar ◽  
Vijay Kumar ◽  
S. S. Bhatia
Keyword(s):  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Topological Properties ◽  
Ideal Convergence ◽  
Difference Sequences ◽  
Invariant Means ◽  
Difference Sequence Spaces

The main objective of this paper is to introduce a new kind of sequence spaces by combining the concepts of modulus function, invariant means, difference sequences, and ideal convergence. We also examine some topological properties of the resulting sequence spaces. Further, we introduce a new concept of SθσΔm(I)-convergence and obtain a condition under which this convergence coincides with above-mentioned sequence spaces.

Sign in / Sign up

Export Citation Format

Share Document