scholarly journals The Ideal Convergence of Strongly of  Γ2inp-Metric Spaces Defined by Modulus

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
N. Subramanian ◽  
K. Balasubramanian ◽  
K. Chandrasekhara Rao
Keyword(s):  
Metric Spaces ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Ideal Convergence ◽  
The Ideal

The aim of this paper is to introduce and study a new concept of theΓ2space via ideal convergence defined by modulus and also some topological properties of the resulting sequence spaces were examined.

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 Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Awad A. Bakery ◽  
Elsayed Abdelbayen Elnour Mohamed ◽  
Mohamed Alamin Ahmed
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Difference Sequence ◽  
Topological Properties ◽  
Inclusion Relation ◽  
Normed Spaces ◽  
Ideal Convergence ◽  
De La Vallée Poussin ◽  
Difference Sequence Spaces ◽  
The Ideal

In the present paper we introduced the ideal convergence of generalized difference sequence spaces combining de La Vallée-Poussin mean and Musielak-Orlicz function overn-normed spaces. We also study some topological properties and inclusion relation between these spaces.

scholarly journals The Multi Ideal Convergence of Difference Strongly of X2 in P-Metric Spaces Defined by Modulus

2015 ◽  
Vol 10 (1) ◽  
pp. 65
Author(s):  
C. Murugesan ◽  
N. Subramanian
Keyword(s):  
Metric Spaces ◽  
Difference Operator ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Ideal Convergence

<p class="zhengwen">The aim of this paper is to introduce multi and study a new concept of the x2 space via ideal convergence of difference operator defined by modulus. Some topological properties of the resulting sequence spaces are also examined.</p>

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.

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.

scholarly journals A Class of Sequences Defined by Weak Ideal Convergence and Musielak-Orlicz Function

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Awad A. Bakery
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Complex Numbers ◽  
Infinite Matrix ◽  
Topological Properties ◽  
Inclusion Relation ◽  
Normed Spaces ◽  
Ideal Convergence

We introduced the weak ideal convergence of new sequence spaces combining an infinite matrix of complex numbers and Musielak-Orlicz function over normed spaces. We also study some topological properties and inclusion relation between these spaces.

scholarly journals Spaces of Ideal Convergent Sequences

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
M. Mursaleen ◽  
Sunil K. Sharma
Keyword(s):  
Orlicz Function ◽  
Sequence Spaces ◽  
Topological Properties ◽  
Ideal Convergence ◽  
Convergent Sequences

In the present paper, we introduce some sequence spaces using ideal convergence and Musielak-Orlicz functionℳ=Mk. We also examine some topological properties of the resulting sequence spaces.

scholarly journals A note on multiordered fuzzy difference sequence spaces

Filomat ◽  
2018 ◽  
Vol 32 (8) ◽  
pp. 2867-2874
Author(s):  
Tanweer Jalal
Keyword(s):  
Difference Operator ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Difference Sequence ◽  
Topological Properties ◽  
Real Numbers ◽  
Ideal Convergence ◽  
Fuzzy Real Numbers ◽  
Difference Sequence Spaces

In this paper we introduce some new multi ordered difference operator on sequence spaces of fuzzy real numbers by using ideal convergence and modulus function and study their some algebraic and topological properties.

The ideal convergence of strongly of \chi^2 in p-metric spaces defined by modulus

2013 ◽  
Vol 7 ◽  
pp. 4097-4105
Author(s):  
N. Kavitha ◽  
N. Saivaraju ◽  
N. Subramanian
Keyword(s):  
Metric Spaces ◽  
Ideal Convergence ◽  
The Ideal
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