Limits of Sequences of Feebly-Type Continuous Functions

We consider the following families of real-valued functions defined on 𝕉 : 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 sequence...

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Bibliographic Details
Published inAnnales mathematicae Silesianae Vol. 34; no. 1; pp. 27 - 35
Main Authors Balcerzak, Marek, Natkaniec, Tomasz, Terepeta, Małgorzata
Format Journal Article
LanguageEnglish
Published Sciendo 01.07.2020
Subjects
15A03
26B05
54C05
54C30
feebly continuity
functions in two variables
pointwise limit
topology of uniform convergence
two-feebly continuity
very feebly continuity
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Summary:We consider the following families of real-valued functions defined on 𝕉 : 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.
ISSN:0860-2107
2391-4238
DOI:10.2478/amsil-2020-0011