On statistical limit points of double sequences

被引：9

作者：

Das, Pratulananda ^{[1
]}

Malik, Prasanta ^{[1
]}

Savas, Ekrem ^{[2
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 215卷 / 03期

关键词：

Double sequence; Double natural density; Statistical convergence; Statistical limit point; CONVERGENCE;

D O I：

10.1016/j.amc.2009.06.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the structure of the set of all statistical limit points of a double sequence and prove certain results, mainly showing that this set can be characterized as a F-sigma-set. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1030 / 1034

页数：5

共 17 条

[1]

Balcerzak M., 2004, Real Anal. Exchange, V30, P267

[2] ON STRONG MATRIX SUMMABILITY WITH RESPECT TO A MODULUS AND STATISTICAL CONVERGENCE [J].

CONNOR, J .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1989, 32 (02) :194-198

[3] I and I*-convergence of double sequences [J].

Das, Pratulananda ;

Kostyrko, Pavel ;

Wilczynski, Wladyslaw ;

Malik, Prasanta .

MATHEMATICA SLOVACA, 2008, 58 (05) :605-620

[4]

Das P, 2007, REAL ANAL EXCH, V33, P351

[5]

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

[6] STATISTICAL LIMIT POINTS [J].

FRIDY, JA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (04) :1187-1192

[7]

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

[8] On statistical limit points [J].

Kostyrko, P ;

Macaj, M ;

Salát, T ;

Strauch, O .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (09) :2647-2654

[9] Statistical convergence of multiple sequences [J].

Móricz, F .

ARCHIV DER MATHEMATIK, 2003, 81 (01) :82-89

[10]

Moricz F., 2005, C MATH, V102, P217

← 1 2 →