RIESZ LACUNARY SEQUENCE SPACES OF FRACTIONAL DIFFERENCE OPERATOR

被引：0
|
作者：
Raj, Kuldip [1 ]
Saini, Kavita [1 ]
Sawhney, Neeru [2 ]
机构：
[1] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, J&K, India
[2] GGM Sci Coll, Dept Phys, Jammu, J&K, India
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 02期
关键词：
Fractional difference operator; gamma function; modulus function; Riesz mean; lacunary sequences; CONVERGENT; ORDER;
D O I：
10.46793/KgJMat2202.283R
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we intend to make new approach to introduce and study some fractional difference sequence spaces by Riesz mean associated with infinite matrix and a sequence of modulus functions over n -normed spaces. Various algebraic and topological properties of these newly formed sequence spaces have been explored and some inclusion relations concerning these spaces are also establish. Finally, we make an effort to study the statistical convergence through fractional difference operator.
引用
收藏
页码：283 / 294
页数：12
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