<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We consider the following families of real-valued functions defined on 𝕉<sup>2</sup>: 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.</p></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.

Limits of Sequences of Feebly-Type Continuous Functions

Faculty of Mathematics, Physics, and Informatics

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"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...

Limits of Sequences of Feebly-Type Continuous Functions

Published Online: Jul 09, 2020

Page range: 27 - 35

Received: Oct 14, 2019

Accepted: Jun 03, 2020

DOI: https://doi.org/10.2478/amsil-2020-0011

Keywords
functions in two variables, feebly continuity, very feebly continuity, two-feebly continuity, pointwise limit, topology of uniform convergence

© 2020 Marek Balcerzak et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Limits of Sequences of Feebly-Type Continuous Functions

Published Online: Jul 09, 2020

Page range: 27 - 35

Received: Oct 14, 2019

Accepted: Jun 03, 2020

DOI: https://doi.org/10.2478/amsil-2020-0011

Keywordsfunctions in two variables, feebly continuity, very feebly continuity, two-feebly continuity, pointwise limit, topology of uniform convergence

© 2020 Marek Balcerzak et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
functions in two variables, feebly continuity, very feebly continuity, two-feebly continuity, pointwise limit, topology of uniform convergence