Limits of sequences of feebly-type continuous functions

Marek Balcerzak; Tomasz Natkaniec; Małgorzata Terepeta

Published: 2020-07-09

Vol. 34 No. 1 (2020)

Limits of sequences of feebly-type continuous functions

Marek Balcerzak

, Tomasz Natkaniec , Małgorzata Terepeta

Abstract

We consider the following families of real-valued functions defined on ℝ²: 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.

Keywords:

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

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Balcerzak, M., Natkaniec, T., & Terepeta, M. (2020). Limits of sequences of feebly-type continuous functions. Annales Mathematicae Silesianae, 34(1), 27–35. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13627

Marek Balcerzak

marek.balcerzak@p.lodz.pl
https://orcid.org/0000-0003-3808-7706

Affiliation:

Instytut Matematyki, Politechnika Łódzka Poland

Tomasz Natkaniec

Affiliation:

Instytut Matematyki, Wydział Matekatyki, Fizyki i Informatyki, Uniwersytet Gdański Poland

Małgorzata Terepeta

Affiliation:

Centrum Nauczania Matematyki i Fizyki oraz Instytut Matematyki, Politechnika Łódzka Poland

Vol. 34 No. 1 (2020)
Published: 2020-07-20

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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Limits of sequences of feebly-type continuous functions

Abstract

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