On some classes of sequences defined by sequences of Orlicz functions

被引：58

作者：

Et, M. ^{[1
]}

Altin, Y.

Choudhary, B.

Tripathy, B. C.

机构：

[1] Firat Univ, Dept Math, TR-23119 Elazig, Turkey

[2] Univ Botswana, Dept Math, Gaborone, Botswana

[3] Inst Adv Study Sci & Technol, Math Sci Div, Gauhati 781035, Assam, India

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2006年 / 9卷 / 02期

关键词：

Orlicz function; sequence spaces; seminorm; statistical convergence;

D O I：

10.7153/mia-09-33

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce some new seminormed sequence spaces using a sequence of Orlicz functions and examine some properties of these sequence spaces. Furthermore we introduce Delta(m)(ug) - statistical convergence and give a relation between Delta(m)(ug) - statistical convergence and strongly Delta(m)(ug)- Cesaro summable sequences with respect to an Orlicz function.

引用

页码：335 / 342

页数：8

共 16 条

[1]

[Anonymous], 1961, CONVEX FUNCTIONS ORL

[2]

Choudhary B, 2002, APPROX THEORY APPL, V18, P70

[3]

Et M., 1995, Soochow J. of Math, V21, P377

[4]

Fast H., 1951, Colloq. Math, V2, P241, DOI [10.4064/cm-2-3-4-241-244, DOI 10.4064/CM-2-3-4-241-244]

[5]

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

[6]

Kamthan P., 1981, Sequence Spaces and Series

[7] ON CERTAIN SEQUENCE-SPACES [J].

KIZMAZ, H .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1981, 24 (02) :169-176

[8]

LINDBERG K, 1973, STUD MATH, V45, P119

[9] ORLICZ SEQUENCE SPACES [J].

LINDENSTRAUSS, J ;

TZAFRIRI, L .

ISRAEL JOURNAL OF MATHEMATICS, 1971, 10 (03) :379-+

[10] SPACES OF STRONGLY SUMMABLE SEQUENCES [J].

MADDOX, IJ .

QUARTERLY JOURNAL OF MATHEMATICS, 1967, 18 (72) :345-&

← 1 2 →