On statistical exhaustiveness

被引：50

作者：

Caserta, A. ^{[2
]}

Kocinac, Lj. D. R. ^{[1
]}

机构：

[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia

[2] SUN, Dept Math, I-81100 Caserta, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 10期

关键词：

Statistical convergence; Bornology; (weak) exhaustiveness; Strong uniform convergence; CONVERGENCE;

D O I：

10.1016/j.aml.2011.12.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study statistical versions of several types of convergence of sequences of functions between two metric spaces. Special attention is devoted to statistical versions of recently introduced notions of exhaustiveness (Gregoriades and Papanastassiou (2008) [41) and strong uniform convergence on a bornology (Beer and Levi (2009)131). We obtain a few results about the continuity of the statistical pointwise limit of a sequence of functions. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1447 / 1451

页数：5

共 15 条

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