ON SOME GENERALIZED I-CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY A MODULUS FUNCTION

2014 ◽  
Vol 32 (3_4) ◽  
pp. 331-341
Author(s):  
Vakeel A. Khan ◽  
Nazneen Khan
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Double Sequence Spaces

scholarly journals On Some I-Convergent Double Sequence Spaces of Fuzzy Real Numbers Defined by Modulus Function

2015 ◽  
Vol 55 (1) ◽  
pp. 19-28
Author(s):  
Manmohan Das
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Real Numbers ◽  
Double Sequence Spaces ◽  
Inclusion Relations ◽  
Algebraic Properties ◽  
Fuzzy Real Numbers

Abstract In this article our aim to introduce some new I-convergent double sequence spaces of fuzzy real numbers defined by modulus function and studies their some topological and algebraic properties. Also we establish some inclusion relations.

Double sequence spaces defined by a modulus

2011 ◽  
Vol 61 (2) ◽  
Author(s):  
Ekrem Savaş ◽  
Richard Patterson
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Double Sequence Spaces ◽  
Dimensional Matrix ◽  
As If

AbstractThis paper begins with new definitions for double sequence spaces. These new definitions are constructed, in general, by combining modulus function and nonnegative four-dimensional matrix. We use these definitions to establish inclusion theorems between various sequence spaces such as: If A = (a m,n,k,l) be a nonnegative four-dimensional matrix such that $$ \mathop {\sup }\limits_{m,n} \sum\limits_{k,l = 0,0}^{\infty ,\infty } {a_{m,n,k,l} < \infty } $$ and let f be a modulus, then ω″(A, f) ⊂ ω″∞(A, f) and ω″0(A, f) ⊂ ω″∞(A, f).

scholarly journals Properties of $\Gamma^{2}$ defined by a modulus function

2012 ◽  
Vol 31 (1) ◽  
pp. 193
Author(s):  
Chinnswamy Murugesan ◽  
Nagarajan Subramanian
Keyword(s):  
Sequence Space ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Double Sequence Spaces

In this article, we introduces the generalized difference paranormed double sequence spaces $\Gamma^{2}\left(\Delta^{m}_{\gamma},f,p,q,s\right)$ and $\Lambda^{2} \left(\Delta^{m}_{\gamma},f,p,q,s\right)$ defined over a seminormed sequence space  $\left(X,q\right)$

scholarly journals Intuitionistic fuzzy Zweier I-convergent double sequence spaces defined by modulus function

2016 ◽  
Vol 3 (1) ◽  
pp. 1235320 ◽  
Author(s):  
Vakeel A. Khan ◽  
Yasmeen ◽  
Hira Fatima ◽  
Ayaz Ahamd ◽  
Lishan Liu
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Double Sequence Spaces ◽  
Intuitionistic Fuzzy

On some Zweier I-convergent double sequence spaces defined by a modulus function

Analysis ◽  
2014 ◽  
Vol 34 (4) ◽  
Author(s):  
Vakeel A. Khan ◽  
Nazneen Khan ◽  
Sabiha Tabassum ◽  
Khalid Ebadullah ◽  
Daniel Breaz
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Modulus Function ◽  
Double Sequence Spaces

Some Double Sequence Spaces Generated by Four-Dimensional Pascal Matrix

2021 ◽  
Vol 09 (08) ◽  
Author(s):  
Ahmadu Kiltho ◽  
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Schauder Basis ◽  
Topological Properties ◽  
Matrix Domain ◽  
Double Sequence Spaces ◽  
Pascal Matrix

The purpose of this paper is to discover and examine a four-dimensional Pascal matrix domain on Pascal sequence spaces. We show that they are spaces and also establish their Schauder basis, topological properties, isomorphism and some inclusions.

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