On O'Malley lower porouscontinuous functions: Real Functions and Algebra

Strany: 65 - 86

Jazyk: eng

In 2014, J. Bors\'{i}k 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 $\mathcal{MO}_r$ and $\mathcal{SO}_r$-continuity. These kinds of porouscontinuity used upper porosity. We consider lower porouscontinuity in the sense of O'Malley, where lower porosity is used instead of standard (upper) porosity.

ISO 690:

Bilski, J., Kamińska, A., Kowalczyk, S., Turowska, M. 2024. On O'Malley lower porouscontinuous functions: Real Functions and Algebra. In Tatra Mountains Mathematical Publications, vol. 86, no.1, pp. 65-86. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2024-0014

APA:

Bilski, J., Kamińska, A., Kowalczyk, S., Turowska, M. (2024). On O'Malley lower porouscontinuous functions: Real Functions and Algebra. Tatra Mountains Mathematical Publications, 86(1), 65-86. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2024-0014

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/