GENERALIZED DIFFERENCE SEQUENCE SPACE DEFINED BY |(N)over-bar, pk| SUMMABILITY AND AN ORLICZ FUNCTION IN SEMINORMED SPACE

被引：11
|
作者：
Bhardwaj, Vinod K. [1 ]
Bala, Indu [2 ]
机构：
[1] Kurukshetra Univ, Dept Math, Kurukshetra 136119, Haryana, India
[2] Rajiv Gandhi Govt Coll, Dept Math, Saha 133104, Ambala, India
来源：
MATHEMATICA SLOVACA | 2010年 / 60卷 / 02期
关键词：
erence sequence space; Orlicz function; summability; topological linear space;
D O I：
10.2478/s12175-010-0010-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The object of this paper is to introduce a new difference sequence space which arise from the notions of |(N) over bar, p(k)| summability and an Orlicz function in seminormed complex linear space. Various algebraic and topological properties and certain inclusion relations involving this space have been discussed. This study generalizes results: [ALTIN, Y.- ET, M.-TRIPATHY, B. C.: The sequence space |(N) over barp| (M,r,q,s) on seminormed spaces, Appl. Math. Comput. 154 (2004), 423-430], [BHARDWAJ, V. K.-SINGH, N.: Some sequence spaces defined by |(N) over bar, p(n)| summability, Demonstratio Math. 32 (1999), 539-546] and [BHARDWAJ, V. K.-SINGH, N.: Some sequence spaces defined by |(N) over bar, pn| summability and an Orlicz function, Indian J. Pure Appl. Math. 31 (2000), 319-325]. (C) 2010 Mathematical Institute Slovak Academy of Sciences
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页码：257 / 264
页数：8
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