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On O’Malley Porouscontinuous Functions

Irena Domnik

Irena Domnik

Institute of Exact and Technical Sciences, Pomeranian University in SłupskSłupsk, POLAND
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Domnik, Irena
, 
Stanisław Kowalczyk

Stanisław Kowalczyk

Institute of Exact and Technical Sciences, Pomeranian University in SłupskSłupsk, POLAND
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Kowalczyk, Stanisław
 and 
Małgorzata Turowska

Małgorzata Turowska

Institute of Exact and Technical Sciences, Pomeranian University in SłupskSłupsk, POLAND
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Turowska, Małgorzata
  
Jan 01, 2022
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Published Online: Jan 01, 2022
Page range: 9 - 24
Received: Oct 12, 2020
DOI: https://doi.org/10.2478/tmmp-2021-0002
Keywords
© 2021 Mathematical Institute, Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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 MOr and SOr-continuity. Some relevant properties of these classes of functions are discussed.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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