APPLICATIONS OF INFINITE MATRICES IN NON-NEWTONIAN CALCULUS FOR PARANORMED SPACES AND THEIR TOEPLITZ DUALS

Facta Universitatis. Series Mathematics and Informatics

Charu Sharma¹  Kuldip Raj² 

[1] SMVD University, Katra;Shri Mata Vaishno Devi University, Katra, India

关键词: Geometric difference;    Orlicz function;    paranorm space;    geometric complex numbers;    non-Newtonian calculus;    K\";    {o}the- Toeplitz duals.;   

DOI  :  10.22190/FUMI1704527R

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 摘 要 】

The main purpose of this paper is to construct some difference sequence spaces over the geometric complex numbers for an infinite matrix and Museilak-Orlicz function. We also make an effort to study some inclusion relations, topological and geometric properties of these spaces. An endeavor has been made to prove that these are Banach spaces. Furthermore, we compute the $\alpha$-, $\beta$-, $\gamma$-dual of these spaces.

【 授权许可】

Unknown