On Some New Paranormed Difference Sequence Spaces Defined by Orlicz Functions

被引：0

作者：

Tripathy, Binod Chandra ^{[1
]}

Dutta, Hemen ^{[2
]}

机构：

[1] Inst Adv Study Sci & Technol, Math Sci Div, Garchuk 781035, Guivahati, India

[2] ADP Coll, Dept Math, Nagaon 782002, Assam, India

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2010年 / 50卷 / 01期

关键词：

n-norm; difference spaces; Orlicz function; paranorm; completeness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this article is to introduce a new class of sequence spaces using the concept of n-norm and to investigate these spaces for some linear topological structures as well as examine these spaces with respect to derived (n-1)-norm. We use an Orlicz function, a bounded sequence of positive real numbers and some difference operators to construct these spaces so that they become more generalized and some other spaces can be derived under special cases. These investigations will enhance the acceptability of the notion of n-norm by giving a way to construct different sequence spaces with elements in n-normed spaces.

引用

页码：59 / 69

页数：11

共 50 条

[1] Some Classes of Difference Paranormed Sequence Spaces Defined by Orlicz Functions
Tripathy, B. C.
Sarma, B.
[J]. THAI JOURNAL OF MATHEMATICS, 2005, 3 (02): : 209 - 218
[2] On some difference sequence spaces defined by a sequence of Orlicz functions
ASMA BEKTA■
i■dem
[J]. Journal of Zhejiang University-Science A(Applied Physics & Engineering), 2006, (12) : 2093 - 2096
[3] On some difference sequence spaces defined by a sequence of Orlicz functions
Çiğdem Asma Bektaş
[J]. Journal of Zhejiang University-SCIENCE A, 2006, 7 (12): : 2093 - 2096
[4] SOME CLASSES OF ALMOST CONVERGENT PARANORMED SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
Isik, Mahmut
[J]. DEMONSTRATIO MATHEMATICA, 2012, 45 (03) : 585 - 592
[5] On some new paranormed sequence spaces of fuzzy numbers defined by orlicz functions and statistical convergence
Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
[J]. Math. Model. Anal, 2006, 4 (379-388):
[6] On some new generalized difference sequence spaces on seminormed spaces defined by a sequence of Orlicz functions
Bektas, Cigdem A.
[J]. MATHEMATICA SLOVACA, 2011, 61 (02) : 227 - 234
[7] On Some New Generalized Difference Double Sequence Spaces Defined By Orlicz Functions
Esi, Ayhan
[J]. MATEMATIKA, 2011, 27 (01) : 31 - 40
[8] Some new sequence spaces defined by a sequence of Orlicz functions
Esi, A
Et, M
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (08): : 967 - 973
[9] Some new paranormed sequence spaces defined by Euler and difference operators
Karakaya, Vatan
Polat, Harun
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2010, 76 (1-2): : 87 - 100
[10] Some new sequence spaces defined by a sequence of Orlicz functions
Karakaya, V
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2005, 9 (04): : 617 - 627

← 1 2 3 4 5 →