A note on convergence of sequences of functions

被引：3

作者：

Papanastassiou, N. ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 275卷

关键词：

Semi-alpha convergence; Semi uniform convergence; Semi exhaustiveness;

D O I：

10.1016/j.topol.2019.107017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper new types of convergence of sequences of functions, called semi-alpha and semi uniform, are defined and studied. Also the notion of semi exhaustiveness is introduced. This new notion describes the relation between pointwise convergence, semi-alpha convergence, pointwise convergence and semi uniform convergence for sequences of functions. Finally, relations between alpha-convergence, equal convergence and uniform equal convergence are studied. (c) 2019 Elsevier B.V. All rights reserved.

引用

页数：10

共 50 条

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