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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

IMPACT FACTOR 2018: 0.490

CiteScore 2018: 0.47

SCImago Journal Rank (SJR) 2018: 0.279
Source Normalized Impact per Paper (SNIP) 2018: 0.627

Mathematical Citation Quotient (MCQ) 2018: 0.29

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Volume 64, Issue 3


Some properties of porouscontinuous functions

Ján Borsík
  • Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, SK-040 01, Košice, Slovakia
  • Faculty of Humanities and Natural Sciences, University of Prešov in Prešov, ul. 17. novembra 1, SK-080 01, Prešov, Slovakia
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Published Online: 2014-07-05 | DOI: https://doi.org/10.2478/s12175-014-0237-3


The notion of porouscontinuous function will be introduced on the base of porous set and relations between porouscontinuous, continuous and quasicontinuous functions will be investigated.

MSC: Primary 54C30, 26A15; Secondary 54C08, 26A21

Keywords: quasicontinuous function; points of discontinuity; porosity

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  • [2] DOLŽENKO, E. P: Boundary properties of arbitrary functions, Math. USSR Izv. 31 (1967), 3–14 (Russian). CrossrefGoogle Scholar

  • [3] GRANDE, E.: Sur un probl`eme concernant les fonctions quasicontinues, Math. Slovaca 32 (1982), 309–312. Google Scholar

  • [4] KOWALCZYK, S.: Compositions of ρ-upper continuous functions, Math. Slovaca (To appear). Google Scholar

  • [5] NEUBRUNN, T.: Quasi-continuity, Real Anal. Exchange 14 (1988–89), 259–308. Google Scholar

  • [6] ZAJÍČEK, L.: Porosity and σ-porosity, Real Anal. Exchange 13 (1987–88), 314–350. Google Scholar

About the article

Published Online: 2014-07-05

Published in Print: 2014-06-01

Citation Information: Mathematica Slovaca, Volume 64, Issue 3, Pages 741–750, ISSN (Online) 1337-2211, DOI: https://doi.org/10.2478/s12175-014-0237-3.

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© 2014 Mathematical Institute, Slovak Academy of Sciences. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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