弱型连续函数序列的极限

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2020-07-01 DOI:10.2478/amsil-2020-0011

M. Balcerzak, T. Natkaniec, Małgorzata Terepeta

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引用次数: 0

摘要

本文研究了𝕉2上定义的实值函数族:弱连续函数族(FC)、极弱连续函数族(VFC)和双弱连续函数族(TFC)。已知包含FC∧VFC∧TFC是合适的。我们研究了从这些族中取项的序列的点极限和一致极限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Limits of Sequences of Feebly-Type Continuous Functions

Abstract We consider the following families of real-valued functions defined on 𝕉2: feebly continuous functions (FC), very feebly continuous functions (VFC), and two-feebly continuous functions (TFC). It is known that the inclusions FC ⊂ VFC ⊂ TFC are proper. We study pointwise and uniform limits of sequences with terms taken from these families.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks