On certain Euler difference sequence spaces of fractional order and related dual properties

被引：0
作者：
Kadak, Ugur [1 ]
Baliarsingh, P. [2 ]
机构：
[1] Bozok Univ, Dept Math, TR-66100 Yozgat, Turkey
[2] KIIT Univ, Sch Appl Sci, Dept Math, Bhubaneswar, Orissa, India
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2015年 / 8卷 / 06期
关键词：
Euler sequence spaces of nonabsolute type; linear operator; matrix transformations; alpha-; beta- and gamma-duals;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to generalize the Euler sequences of nonabsolute type by introducing a generalized Euler mean difference operator E-r(Delta(((alpha) over tilde))) of order alpha. We investigate their topological structures as well as some interesting results concerning the operator E-r(Delta(((alpha) over tilde))) for a proper fraction (alpha) over tilde. Also we obtain the alpha-, beta- and gamma-duals of these sets.
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页码：997 / 1004
页数：8
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