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 On double sequence spaces defined by an Orlicz function on a seminormed space

Filomat ◽  
2016 ◽  
Vol 30 (3) ◽  
pp. 631-638 ◽  
Author(s):  
Ekrem Savaş ◽  
Eren Savaş
Keyword(s):  
Sequence Space ◽  
Orlicz Function ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Double Sequence Spaces ◽  
Double Sequence Space ◽  
Seminormed Space ◽  
Inclusion Results

In this paper we introduce and study the double sequence space m''(M,?,q) by using the Orlicz function M. Also we obtain some inclusion results involving the space m''(M,?,q).

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 Matrix summability of statistically p-convergence sequences

Filomat ◽  
2011 ◽  
Vol 25 (4) ◽  
pp. 55-62 ◽  
Author(s):  
Richard Patterson ◽  
Ekrem Savaş
Keyword(s):  
Sequence Space ◽  
Double Sequence ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Arbitrary Sequence ◽  
Regular Matrix ◽  
Multidimensional Analog ◽  
Matrix Summability ◽  
Double Sequence Spaces ◽  
Double Sequence Space

Matrix summability is arguable the most important tool used to characterize sequence spaces. In 1993 Kolk presented such a characterization for statistically convergent sequence space using nonnegative regular matrix. The goal of this paper is extended Kolk?s results to double sequence spaces via four dimensional matrix transformation. To accomplish this goal we begin by presenting the following multidimensional analog of Kolk?s Theorem : Let X be a section-closed double sequence space containing e'' and Y an arbitrary sequence space. Then B ?(st2A ? X,Y) if and only if B ? (c''? X,Y) and B[KxK]?(X,Y) (?A(K?K)=0). In addition, to this result we shall also present implication and variation of this theorem.

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
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