Binomial difference sequence spaces of order m

被引：9

作者：

Meng, Jian ^{[1
]}

Song, Meimei ^{[1
]}

机构：

[1] Tianjin Univ Technol, Dept Math, Tianjin 300000, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

关键词：

sequence space; matrix domain; Schauder basis; alpha-; beta- and gamma-duals;

D O I：

10.1186/s13662-017-1291-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the binomial sequence spaces b(0)(r,s)(del((m))), b(c)(r,s) (del((m))) and b(infinity)(r,s) (del((m))) by combining the binomial transformation and mth order difference operator. We prove the BK-property and some inclusion relations. Also, we obtain the Schauder bases and compute the alpha-, beta- and gamma- duals of these sequence spaces.

引用

页数：10

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