PARANORMED RIESZ DIFFERENCE SEQUENCE SPACES OF FRACTIONAL ORDER

被引：13
作者：
Yaying, Taja [1 ]
机构：
[1] Dera Natung Govt Coll, Dept Math, Itanagar 791113, Arunachal Prade, India
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 02期
关键词：
Riesz difference sequence spaces; difference operator Delta((alpha)); Schauder basis; alpha-; beta-; gamma-; duals; matrix transformation; MATRIX TRANSFORMATIONS; OPERATOR; DOMAIN;
D O I：
10.46793/KgJMat2202.175Y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article we introduce paranormed Riesz difference sequence spaces of fractional order alpha, r(0)(t) (p, Delta((alpha))), r(c)(t)(p, Delta((alpha))) and r(infinity)(t) (p, Delta((alpha))) defined by the composition of fractional difference operator Delta((alpha)), defined by (Delta((alpha))x)(k) = Sigma(infinity)(i=0)((-1))(i) Gamma(alpha+1)/i!Gamma(alpha-i+1) x(k-i), and Riesz mean matrix R-t. We give some topological properties, obtain the Schauder basis and determine the alpha-,beta- and gamma- duals of the new spaces. Finally, we characterize certain matrix classes related to these new spaces.
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收藏
页码：175 / 191
页数：17
相关论文
共 45 条
[1]  
Ahamad Z.U., 1987, Publ. Inst. Math, V42, P57
[2]  
Ahmad Z. U., SE ASIAN B MATH, V29, P635
[3]  
Altay B., 2006, Se. Asian B. Math., V30, P591
[4]  
Altay B., 2003, Se. Asian B. Math., V26, P701
[5]  
[Anonymous], 2015, INT J MATH MATH SCI
[6]   On statistical convergence of difference sequences of fractional order and related Korovkin type approximation theorems [J].
Baliarsingh, P. ;
Kadak, U. ;
Mursaleen, M. .
QUAESTIONES MATHEMATICAE, 2018, 41 (08) :1117-1133
[7]   A unifying approach to the difference operators and their applications [J].
Baliarsingh, P. ;
Dutta, S. .
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2015, 33 (01) :49-+
[8]   On the classes of fractional order difference sequence spaces and their matrix transformations [J].
Baliarsingh, P. ;
Dutta, S. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 250 :665-674
[9]   Some new difference sequence spaces of fractional order and their dual spaces [J].
Baliarsingh, P. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) :9737-9742
[10]   On Some Generalized Bm-Difference Riesz Sequence Spaces and Uniform Opial Property [J].
Basarir, Metin ;
Ozturk, Mahpeyker .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
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