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

2012 ◽  
Vol 33 (2) ◽  
pp. 183-190 ◽  
Author(s):  
Kuldip Raj ◽  
Ajay K. Sharma ◽  
Sunil K. Sharma ◽  
Sulinder Singh


2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Orhan Tug ◽  
Mutlay Dogan ◽  
Abdullah Kurudirek

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.



2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Orhan Tug

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.



2014 ◽  
pp. 65-76
Author(s):  
Kuldip Raj ◽  
Sunil K. Sharma


2012 ◽  
Vol 2 (1) ◽  
pp. 31-43
Author(s):  
Kuldip Raj ◽  
Ajay Sharma ◽  
Sunil Sharma




2018 ◽  
Vol 11 (05) ◽  
pp. 1850073 ◽  
Author(s):  
Kuldip Raj ◽  
Anu Choudhary ◽  
Charu Sharma

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.



2014 ◽  
Vol 2014 (1) ◽  
pp. 216 ◽  
Author(s):  
Abdullah Alotaibi ◽  
Mohammad Mursaleen ◽  
Sunil K Sharma


2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Vakeel A. Khan ◽  
Mobeen Ahmad ◽  
Hira Fatima ◽  
Mohd Faisal Khan


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