scholarly journals Statistically Convergent Double Sequence Spaces in 2-Normed Spaces Defined by Orlicz Function

2011 ◽  
Vol 02 (04) ◽  
pp. 398-402 ◽  
Author(s):  
Vakeel A. Khan ◽  
Sabiha Tabassum
Keyword(s):  
Orlicz Function ◽  
Double Sequence ◽  
Sequence Spaces ◽  
Normed Spaces ◽  
Double Sequence Spaces

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.

Almost strongly Orlicz double sequence spaces of regular matrices and their applications to statistical convergence

2018 ◽  
Vol 11 (05) ◽  
pp. 1850073 ◽  
Author(s):  
Kuldip Raj ◽  
Anu Choudhary ◽  
Charu Sharma
Keyword(s):  
Statistical Convergence ◽  
Orlicz Function ◽  
Double Sequence ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Regular Matrix ◽  
Normed Spaces ◽  
Double Sequence Spaces ◽  
Inclusion Relations ◽  
Algebraic Properties

In this paper, we introduce and study some strongly almost convergent double sequence spaces by Riesz mean associated with four-dimensional bounded regular matrix and a Musielak–Orlicz function over [Formula: see text]-normed spaces. We make an effort to study some topological and algebraic properties of these sequence spaces. We also study some inclusion relations between the spaces. Finally, we establish some relation between weighted lacunary statistical sequence spaces and Riesz lacunary almost statistical convergent sequence spaces over [Formula: see text]-normed spaces.

scholarly journals Two valued measure and some new double sequence spaces in 2-normed spaces

2011 ◽  
Vol 61 (3) ◽  
pp. 809-825 ◽  
Author(s):  
Pratulananda Das ◽  
Ekrem Savas ◽  
Santanu Bhunia
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Normed Spaces ◽  
Double 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

Some double sequence spaces defined by a sequence of Orlicz functions over n-normed spaces

2012 ◽  
Vol 33 (2) ◽  
pp. 183-190 ◽  
Author(s):  
Kuldip Raj ◽  
Ajay K. Sharma ◽  
Sunil K. Sharma ◽  
Sulinder Singh
Keyword(s):  
Double Sequence ◽  
Sequence Spaces ◽  
Normed Spaces ◽  
Orlicz Functions ◽  
Double Sequence Spaces

scholarly journals Some Almost Lacunary Double Sequence Spaces Defined by Orlicz Functions in 2-Normed Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Orhan Tug
Keyword(s):  
Double Sequence ◽  
Convergent Sequence ◽  
Sequence Spaces ◽  
Double Sequences ◽  
Normed Spaces ◽  
Orlicz Functions ◽  
Double Sequence Spaces ◽  
Almost Convergent Sequence

Das and Patel (1989) introduced two new sequence spaces which are called lacunary almost convergent and lacunary strongly almost convergent sequence spaces. Móricz and Rhoades (1988) defined and studied almost P-convergent double sequences spaces. Savaş and Patterson (2005) introduce the almost lacunary strong P-convergent double sequence spaces by using Orlicz functions and examined some properties of these sequences spaces. In this paper, some almost lacunary double sequences spaces are given by using 2-normed 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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