On symmetrically porouscontinuous functions

• Autorzy: Kowalczyk S. , Turowska M.

Identyfikatory

DOI

10.1515/jaa-2016-0015

• Języki publikacji: EN

Abstrakty

EN

In the present paper, we introduce the notion of symmetrically porouscontinuous functions. We investigate some properties of symmetric porouscontinuity and its connections with the notion of porouscontinuity, studied by Borsík and Holos in [2]. We prove that there are 2c symmetrically porouscontinuous functions, which extends results of [1] concerning ρ-upper continuous functions.

Słowa kluczowe

EN

porosity; symmetric porosity; porouscontinuity; symmetric porouscontinuity

PL

porowatość; porowatość symetryczna

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2016
• Tom: Vol. 22, nr 2
• Strony: 141--151
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Kowalczyk S.

• Institute of Mathematics, Pomeranian University in Słupsk, ul. Kozietulskiego 6-7, 76-200 Słupsk, Poland

autor

Turowska M.

• Institute of Mathematics, Pomeranian University in Słupsk, ul. Kozietulskiego 6-7, 76-200 Słupsk, Poland

Bibliografia

• [1] M. Bienias, S. Głąb and W. Wilczyński, Cardinality of sets of ρ-upper and p-lower continuous functions, Bull. Soc. Set. Lett. Łódź Ser. Rech. Deform. 64 (2014), 71-80.
• [2] J. Borsík and J. Holos, Some properties of porouscontinuous functions, Math. Slovaca 64 (2014), no. 3, 741-750.
• [3] A. M. Bruckner, R. J. O’Malley and B. S. Thomson, Path derivatives: A unified view of certain generalized derivatives, Trans. Amer. Math. Soc. 283 (1984), 97-125.
• [4] E. P. Dolżenko, Boundary properties of arbitrary functions (in Russian), Math. USSR Izv. 31 (1967), 3-14.
• [5] L. Zajíček, Porosity and σ-porosity, Real Anal. Exchange 13 (1987/88), 314-350.