MODES OF CONTINUITY INVOLVING ALMOST AND IDEAL CONVERGENCE

被引：3

作者：

Boccuto, Antonio ^{[1
]}

Dimitriou, Xenofon ^{[2
]}

Papanastassiou, Nicolas ^{[2
]}

机构：

[1] Univ Perugia, Dept Math & Comp Sci, Via Vanvitelli 1, I-06123 Perugia, Italy

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

来源：

REAL FUNCTIONS '11: RIEMANN DERANGEMENT THEOREM, MULTIFUNCTIONS, GENERALIZED CONTINUITIES, VECTOR MEASURES AND FUNCTIONS | 2012年 / 52卷

关键词：

almost convergence; Single convergence; ideal convergence; Pringsheim-Single convergence; (Lorentz) uniform equal convergence; modes of continuity;

D O I：

10.2478/v10127-012-0032-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate some properties of almost convergence and compare it with other kinds of convergence. Moreover, we present different modes of continuity considering almost, Single and ideal convergence, giving some relations between them and some examples. Finally, we pose some open problems.

引用

页码：115 / +

页数：3

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