Some Double Lacunary Sequence Spaces defined by Orlicz Functions

被引：0

作者：

Savas, E. ^{[1
]}

Patterson, R. F. ^{[2
]}

机构：

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

[2] Univ North Florida, Dept Math & Stat, Jacksonville, FL 32224 USA

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2011年 / 35卷 / 01期

关键词：

Orlicz function; Lacunary strong P-convergent sequences; Double Lacunary sequences;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce a new concept for lacunary strong P-convergent with respect to an Orlicz function and examine some properties of the resulting sequence space. We also show that if a sequence is lacunary strong P-convergence with respect to an Orlicz function then it is 8 theta(r,s),-convergent. In addition, lacunary strong P-convergent with respect to an Orlicz function is compared to other summability methods.

引用

页码：103 / 110

页数：8

共 13 条

[1]

AHMAD, 2005, SE ASIAN B MATH, V29, P635

[2]

Ahmed AES, 2009, SOUTHEAST ASIAN BULL, V33, P1

[3]

FREEDMAN AR, 1978, P LOND MATH SOC, V37, P508

[4]

Krasnoselskii M. A., 1961, CONVEX FUNCTION ORLI

[5] ALMOST CONVERGENCE OF DOUBLE SEQUENCES AND STRONG REGULARITY OF SUMMABILITY MATRICES [J].

MORICZ, F ;

RHOADES, BE .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1988, 104 :283-294

[6] Statistical convergence of double sequences [J].

Mursaleen, M ;

Edely, OHH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 288 (01) :223-231

[7]

Patterson R.F., 2005, MATH COMMUN, V10, P55, DOI DOI 10.1186/1029-242X-2014-480

[8]

PATTERSON R. F., 2000, INT J MATH MATH SCI, V23, P1

[9] On the theory of the double infinite numerical orders [J].

Pringsheim, A .

MATHEMATISCHE ANNALEN, 1900, 53 :289-321

[10] FK SPACES IN WHICH SEQUENCE OF COORDINATE VECTORS IS BOUNDED [J].

RUCKLE, WH .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1973, 25 (05) :973-978

← 1 2 →