THE GENERALIZED NON-ABSOLUTE TYPE OF TRIPLE Γ3 SEQUENCE SPACES DEFINED MUSIELAK-ORLICZ FUNCTION

Facta Universitatis. Series Mathematics and Informatics

Nagarajan Subramanian¹  Shyamal Debnath² 

[1] SASTRA University;Tripura University

关键词: analytic sequence;    Γ3 space;    difference sequence space;    Musielak - Orlicz function;    p− metric space.;   

DOI  :  

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 】

In this paper we introduce the notion of λmnk - Γ3 and Λ3 sequences. Further, we introduce the spaces hΓ3 fλ; k(d (x1; 0) ; d (x2; 0) ; · · · ; d (xn-1; 0))kpi and hΛ3 fλ; k(d (x1; 0) ; d (x2; 0) ; · · · ; d (xn-1; 0))kpi ; which are of nonabsolute type and we prove that these spaces are linearly isomorphic to the spaces Γ3 and Λ3; respectively. Moreover, we establish some inclusion relations between these spaces.

【 授权许可】

Unknown