On some generalized q-difference sequence spaces

被引：0

作者：

Ellidokuzoglu, Hacer Bilgin ^{[1
]}

Demiriz, Serkan ^{[2
]}

机构：

[1] Recep Tayyip Erdog Univ, Dept Math, TR-53100 Rize, Turkiye

[2] Tokat Gaziosmanpasa Univ, Dept Math, TR-60240 Tokat, Turkiye

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 08期

关键词：

sequence spaces; q-calculus; q-difference matrix; q-difference sequence spaces; SPECTRUM; MATRIX;

D O I：

10.3934/math.2023947

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we construct the spaces of q-difference sequences of order m. We obtain some inclusion relations, topological properties, Schauder basis and alpha, beta and gamma duals of the newly defined spaces. We characterize certain matrix classes from the newly defined spaces to any one of the spaces c0, c, `& INFIN; and `p.

引用

页码：18607 / 18617

页数：11

共 50 条

[1] Cesàro q-Difference Sequence Spaces and Spectrum of Weighted q-Difference Operator
Yaying, Taja
Hazarika, Bipan
Baliarsingh, Pinakadhar
Mursaleen, Mohammad
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2024, 50 (02)
[2] Sequence Spaces and Spectrum of q-Difference Operator of Second Order
Alotaibi, Abdullah
Yaying, Taja
Mohiuddine, Syed Abdul
[J]. SYMMETRY-BASEL, 2022, 14 (06):
[3] Some Generalized Difference Sequence Spaces
Esi, A.
Isik, M.
[J]. THAI JOURNAL OF MATHEMATICS, 2005, 3 (02): : 241 - 247
[4] Domain of Padovan q-Difference Matrix in Sequence Spaces lp and l∞
Yaying, Taja
Hazarika, Bipan
Mohiuddine, S. A.
[J]. FILOMAT, 2022, 36 (03) : 905 - 919
[5] Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications
Cao, Jian
Zhou, Hong-Li
Arjika, Sama
[J]. RAMANUJAN JOURNAL, 2023, 60 (04): : 1033 - 1067
[6] Generalized q-difference equations for (q, c)-hypergeometric polynomials and some applications
Jian Cao
Hong-Li Zhou
Sama Arjika
[J]. The Ramanujan Journal, 2023, 60 : 1033 - 1067
[7] On some new generalized difference sequence spaces
Et M.
Basarir M.
[J]. Periodica Mathematica Hungarica, 1997, 35 (3) : 169 - 175
[8] Applications of a generalized q-difference equation
Fang, Jian-Ping
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[9] Remarks on a generalized q-difference equation
Fang, Jian-Ping
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2015, 21 (10) : 934 - 953
[10] Applications of a generalized q-difference equation
Jian-Ping Fang
[J]. Advances in Difference Equations, 2014

← 1 2 3 4 5 →