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

被引:15
作者
Raj, Kuldip [1 ]
Choudhary, Anu [1 ]
Sharma, Charu [1 ]
机构
[1] Shri Mata Vaishno Devi Univ, Dept Math, Katra 182320, Jammu & Kashmir, India
关键词
Orlicz function; Pringsheim convergence; double sequences; Riesz convergence; lacunary sequences;
D O I
10.1142/S1793557118500730
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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 n-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 n-normed spaces.
引用
收藏
页数:14
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