Compositions of porouscontinuous functions-Reference-Cited by-同舟云学术

Compositions of porouscontinuous functions

Published:2019-01-22 Issue:1 Volume:69 Page:199-212
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Kowalczyk Stanisław¹,Turowska Małgorzata¹

Affiliation:

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

Abstract

Abstract The notion of porouscontinuity was introduced by Borsík and Holos. We find classes of functions whose compositions with porouscontinuous functions are still porouscontinuous. Next, we study compositions of porouscontinuous functions with homeomorphisms. We investigate connections between 𝓘𝓒(𝓐) ∩ 𝓗𝓞𝓜 and 𝓘𝓒(𝓑) ∩ 𝓗𝓞𝓜 for different classes 𝓐,𝓑 ∈ 𝓟𝓒, where 𝓟𝓒 is the set of all classes of porouscontinuous functions and 𝓗𝓞𝓜 is the set of all homeomorphisms f : ℝ → ℝ.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0214/pdf

Reference7 articles.

1. Borsík, J.—Holos, J.: Some properties of porouscontinuous functions, Math. Slovaca 64(3) (2014), 741–750.

2. Bruckner, A. M.: Differentation of Real Functions. Lecture Notes in Math. 659, Springer-Verlag, 1978.

3. Kowalczyk, S.—Nowakowska, K.: Maximal classes for ϱ-upper continuous functions, J. Appl. Anal. 19 (2013), 69–89.

4. Kowalczyk, S.—Turowska, M.: On structural properties of porouscontinuous functions, Math. Slovaca 67(5) (2017), 1239–1250.

5. Kowalczyk, S.: Compositions of ϱ-upper continuous functions, Math. Slovaca 66(3) (2016), 1–16.

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