Four-dimensional generalized difference matrix and some double sequence spaces

被引：7

作者：

Tug, Orhan ^{[1
]}

Basar, Feyzi ^{[2
]}

机构：

[1] Ishik Univ, Dept Math Educ, Erbil, Iraq

[2] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016) | 2016年 / 1759卷

关键词：

Four-dimensional generalized difference matrix; Matrix domain; Double sequence spaces; Alpha-dual; Beta-dual; Gamma-dual; Matrix transformations;

D O I：

10.1063/1.4959689

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we introduce some new double sequence spaces B(M-u), B(C-p), B(C-bp), B(C-r) and B(L-q) as the domain of four-dimensional generalized difference matrix B(r,s,t,u) in the spaces M-u, C-p, C-bp, C-r and L-q, respectively. We show that the double sequence spaces B(M-u), B(C-bp) and B(C-r) are the Banach spaces under some certain conditions. We give some inclusion relations with some topological properties.

引用

页数：4