On some new normed sequence spaces

4th International Conference on Operational Research

Pranajaya, G.^1 ; Herawati, E.^1

Department of Mathematics, University of Sumatera Utara, Indonesia^1

关键词: Orlicz functions;    Sequence space;    Topological properties;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/300/1/012073/pdf
DOI  :  10.1088/1757-899X/300/1/012073

来源: IOP

【 摘 要 】

The sequence spaces (c0)Λ, cΛ, and (∞)Λwas introduced and studied by Mursaleen and Noman [11]. In the present paper, for M is a generalization of Orlicz function, we extend the spaces Mursaleen and Noman's to [c0(M)]Λ, [c(M)]Λ, and [∞(M)]Λ, respectively, and investigate some topological properties of these spaces. Finally, we determine the necessary and sufficient conditions of an infinite matrix A belonging to classes (c0(M), c0(M)), (c(M), c(M)), and (∞(M), ∞(M)).