On generalized A- difference strongly summable sequence spaces defined by ideal convergence on a real n-normed space

被引：5

作者：

Savas, Ekrem ^{[1
]}

机构：

[1] Istanbul Commerce Univ, Dept Math, Uskudar Istanbul, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

I-convergence; infinite matrix; difference space; n-norm; Orlicz function; ORLICZ FUNCTIONS; 2-NORMED SPACES;

D O I：

10.1186/1029-242X-2012-87

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we shall introduce a new class of ideal convergent (briefly I-convergent) sequence spaces using, infinite matrix, an Orlicz function and difference operator defined on n-normed spaces. We study these spaces for some linear topological structures and algebraic properties. We also give some relations related to these sequence spaces. Mathematics Subject Classification 2010: 40A05; 40B50; 46A19; 46A45.

引用

页数：9

共 30 条

[1]

Et M., 1985, SOOCHOW J MATH, V21, P147

[2]

FAST H., 1951, Colloq. Math., V2, P241

[3]

Fridy JA, 1985, Analysis, V5, P301, DOI DOI 10.1524/ANLY.1985.5.4.301

[4]

Gahler S., 1964, Math. Nachr., V28, P1, DOI [10.1002/mana.19640280102, DOI 10.1002/MANA.19640280102]

[5] The space of p-summable sequences and its natural n-norm [J].

Gunawan, H .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2001, 64 (01) :137-147

[6]

Gunawan H., 2001, SOOCHOW J MATH, V27, P147

[7]

Gunawan H., 2001, Int. J. Math. Math. Sci, V27, P631, DOI [DOI 10.1155/S0161171201010675, 10.1155/S0161171201010675]

[8]

Gürdal M, 2006, THAI J MATH, V4, P85

[9]

Gurdal M., 2008, J Fund Sci., V4, P233

[10]

Hazarika B, 2011, ISRN MATH ANAL, V17

← 1 2 3 →