THE SEQUENCE SPACE Enq (M, p, s) AND Nk- LACUNARY STATISTICAL CONVERGENCE

被引：7

作者：

Braha, Naim L. ^{[1
]}

Et, Mikail ^{[2
]}

机构：

[1] Dept Math & Comp Sci, Prishtine 10000, Kosova, Serbia

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

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2013年 / 7卷 / 01期

关键词：

Orlicz function; sequence space; Euler mean; statistical convergence;

D O I：

10.15352/bjma/1358864550

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we define the sequence space E-n(q) (M, p, s) by using an Orlicz function and we study various properties and obtain some inclusion relations involving this space. We give some relations between N-k - lacunary statistical convergence and strongly N-k- lacunary convergence.

引用

页码：88 / 96

页数：9

共 26 条

[1] The sequence space |(N)over-barp|(M, r, q, s) on seminormed spaces [J].

Altin, Y ;

Et, M ;

Tripathy, BC .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (02) :423-430

[2] ON A NEW CLASS OF SEQUENCES RELATED TO THE lp SPACE DEFINED BY ORLICZ FUNCTION [J].

Altun, Yilmaz ;

Bilgin, Tunay .

TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (04) :1189-1196

[3]

Bhardwaj V.K., 2000, Demonstratio Math, V33, P571, DOI [10.1515/dema-2000-0314, DOI 10.1515/DEMA-2000-0314]

[4] A New Class of Sequences Related to the lp Spaces Defined by Sequences of Orlicz Functions [J].

Braha, Naim L. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,

[5]

Colak R., 2010, MODERN METHODS ANAL

[6]

COLAK R., 2006, Vietnam Journal of Mathematics, V34, P129

[7]

Connor J. S., 1988, ANALYSIS, V8, P47, DOI DOI 10.1524/ANLY.1988.8.12.47

[8]

Das G., 1983, J. Orissa Math. Soc, P61

[9] On some classes of sequences defined by sequences of Orlicz functions [J].

Et, M. ;

Altin, Y. ;

Choudhary, B. ;

Tripathy, B. C. .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2006, 9 (02) :335-342

[10]

Et M, 2006, UKR MATH J, V58, P139

← 1 2 3 →