On O’malley Lower Porouscontinuous Functions

Bilski, Jakub; Kamińska, Anna; Kowalczyk, Stanisław; Turowska, Małgorzata

doi:10.2478/tmmp-2024-0014

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On O’malley Lower Porouscontinuous Functions

Tatra Mountains Mathematical Publications

Volume 86 (2024): Issue 1 (September 2024)

By: Jakub Bilski, Anna Kamińska, Stanisław Kowalczyk and Małgorzata Turowska

Open Access

|Oct 2024

Abstract

In 2014, J. Borsík and J. Holos defined porouscontinuous functions. Using the notion of density in the sense of O’Malley, new definitions of porouscontinuity were introduced in 2021, namely ℳ𝒪_r and 𝒮𝒪_r-continuity. These kinds of porouscontinuity used upper porosity. We consider lower porous-continuity in the sense of O’Malley, where lower porosity is used instead of standard (upper) porosity.

References

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DOI: https://doi.org/10.2478/tmmp-2024-0014 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 65 - 86

Submitted on: Aug 23, 2023

Accepted on: Jul 5, 2024

Published on: Oct 20, 2024

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

porosity,

lower porosity,

porouscontinuity,

lower porouscontinuity in the sense of O’Malley

Related subjects:

Mathematics,

General mathematics

© 2024 Jakub Bilski, Anna Kamińska, Stanisław Kowalczyk, Małgorzata Turowska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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