Affiliation:
1. Institute of Mathematics Pomeranian University ul. Arciszewskiego 22d 76-200 Słupsk POLAND
Abstract
Abstract
In the paper some properties of compositions of ϱ-upper continuous functions are presented. We will show conditions for a function f: I → I under which g ∘ f is ϱ-upper continuous for each ϱ-upper continuous function g: I → ℝ. A small generalization of Luzin-Menchoff Theorem and Zahorski Theorem will be discussed.
Reference7 articles.
1. Borsík, J.: Some classes of strongly quasicontinuous functions, Real Anal. Exchange 30 (2004-05), 689–702.
2. Bruckner, A. M.: Differentiation of Real Functions. Lecture Notes in Math., Springer-Verlag, Berlin-Heidelberg-New York, 1978.
3. Karasińska, A.—Wagner-Bojakowska, E.: Some remarks on ϱ-upper continuous functions, Tatra Mt. Math. Publ. 46 (2010), 85–89.
4. Kowalczyk, S.—Nowakowska, K.: A note on ϱ-upper continuous functions, Tatra Mt. Math. Publ. 44 (2009), 153–158.
5. Kowalczyk, S.—Nowakowska, K.: Maximal classes for ϱ-upper continuous functions, J. Appl. Anal. 19 (2013), 69–89.
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