Two new fibonomial difference sequence spaces and related dual properties

被引：0
|
作者：
Dagli, Muhammet Cihat [1 ]
机构：
[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkiye
来源：
CONTRIBUTIONS TO MATHEMATICS | 2024年 / 9卷
关键词：
fibonomial sequence spaces; Schauder basis; matrix domain; alpha-; beta-; gamma-duals; EULER; L(P); OPERATOR; INCLUDE; MATRIX; ORDER;
D O I：
10.47443/cm.2024.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces two new fibonomial difference sequence spaces that are inspired by the Fibonacci calculus (or Golden calculus). It is shown that both of these spaces are complete linear metric spaces. Also, it is demonstrated that one of these two spaces is linearly isomorphic to the set of all bounded sequences and the other one is linearly isomorphic to the set of all sequences constituting p-absolutely convergent series. Furthermore, the Schauder basis and the cx-, /3-, 7-duals of these spaces are determined.
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页码：38 / 45
页数：8
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