On O’Malley Porouscontinuous Functions

Domnik, Irena; Kowalczyk, Stanisław; Turowska, Małgorzata

doi:10.2478/tmmp-2021-0002

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On O’Malley Porouscontinuous Functions

Tatra Mountains Mathematical Publications

Volume 78 (2021): Issue 1 (October 2021)

By: Irena Domnik, Stanisław Kowalczyk and Małgorzata Turowska

Open Access

|Jan 2022

Abstract

In 2014, J. Borsík and J. Holos defined porouscontinuous functions. Using the notion of density in O’Malley sense, we introduce new definitions of porouscontinuity, namely MO_r and SO_r-continuity. Some relevant properties of these classes of functions are discussed.

References

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DOI: https://doi.org/10.2478/tmmp-2021-0002 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 9 - 24

Submitted on: Oct 12, 2020

Published on: Jan 1, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

porosity,

porouscontinuity,

porouscontinuity in O’Malley sense

Related subjects:

Mathematics,

General mathematics

© 2022 Irena Domnik, 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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