scholarly journals Seminormed double sequence spaces of four-dimensional matrix and Musielak–Orlicz function

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Renu Anand ◽  
Charu Sharma ◽  
Kuldip Raj
Keyword(s):  
Orlicz Function ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Double Sequence Spaces ◽  
Dimensional Matrix

scholarly journals On strong double matrix summability via ideals

Filomat ◽  
2012 ◽  
Vol 26 (6) ◽  
pp. 1143-1150 ◽  
Author(s):  
Ekrem Savaş
Keyword(s):  
Orlicz Function ◽  
Double Sequence ◽  
Summability Method ◽  
Sequence Spaces ◽  
Matrix Summability ◽  
Double Sequence Spaces ◽  
Dimensional Matrix

In this paper, we define some new double sequence spaces by combining the notion of ideal, Orlicz function and nonnegative four dimensional matrix. We make certain investigations on the classes of sequences arising out of this new summability method. In addition, we shall establish inclusion theorems between these spaces and other sequence spaces.

On paranorm BVσ I-convergent double sequence spaces defined by an Orlicz function

Analysis ◽  
2017 ◽  
Vol 37 (3) ◽  
Author(s):  
Vakeel A. Khan ◽  
Hira Fatima ◽  
Sameera A. A. Abdullah ◽  
Kamal M. A. S. Alshlool
Keyword(s):  
Orlicz Function ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Double Sequence Spaces

AbstractThe space

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 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).

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