Limits of Sequences of Feebly-Type Continuous Functions

Limits of Sequences of Feebly-Type Continuous Functions

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 sequence...

Full description

Bibliographic Details
Main Authors: Balcerzak Marek, Natkaniec Tomasz, Terepeta Małgorzata
Format: Article
Language:English
Published: Sciendo 2020-07-01
Series:Annales Mathematicae Silesianae
Subjects:
functions in two variables
feebly continuity
very feebly continuity
two-feebly continuity
pointwise limit
topology of uniform convergence
26b05
54c05
54c30
15a03
Online Access:http://www.degruyter.com/view/j/amsil.2020.34.issue-1/amsil-2020-0011/amsil-2020-0011.xml?format=INT
Description
Summary: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.
ISSN:2391-4238

Similar Items