Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals

Advances in Difference Equations

article

Kılıçman, Adem¹  Raj, Kuldip² 

[1] Department of Mathematics and Institite for Mathematical Research, Universiti Putra Malaysia;School of Mathematics, Shri Mata Vaishno Devi University

关键词: Orlicz function;    Matrix domain;    Difference sequence spaces;    Nörlund matrix;    Alpha-dual;    Beta-dual;    Gamma-dual;    Matrix transformations;   

DOI  :  10.1186/s13662-020-02567-3

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, the Nörlund–Orlicz difference sequence space $\mathcal{N}^{t}(\mathcal{F},\Delta^{m}_{n},u,q)$ of nonabsolute type is introduced as a domain of Nörlund means which is isomorphic to the space $\ell(p)$ and the basis of the space is constructed. Additionally, the α−, β−, and γ-duals of the spaces are computed and their matrix transformations are given. Finally, the properties like rotundity, modularity of the newly formed spaces are established.

【 授权许可】

CC BY