Regulated functions and integrability

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Author:
Gunčaga, Ján
xmlui.dri2xhtml.METS-1.0.item-citation: Annales Universitatis Paedagogicae Cracoviensis. 70, Studia Mathematica 8 (2009), s. [43]-56
xmlui.dri2xhtml.METS-1.0.item-iso: en
Date: 2009
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Dokument cyfrowy wytworzony, opracowany, opublikowany oraz finansowany w ramach programu "Społeczna Odpowiedzialność Nauki" - modułu "Wsparcie dla bibliotek naukowych" przez Ministerstwo Nauki i Szkolnictwa Wyższego w projekcie nr rej. SONB/SP/465103/2020 pt. "Organizacja kolekcji czasopism naukowych w Repozytorium UP wraz z wykonaniem rekordów analitycznych".
Abstract
Properties of functions defined on a bounded closed interval, weaker than continuity, have been considered by many mathematicians. Functions having both sides limits at each point are called regulated and were considered by J. Dieudonné [2]., D. Fraňková [3] and others (see for example S. Banach [1], S. Saks [8]). The main class of functions we deal with consists of piece- wise constamt ones. These functions play a fundamental role in the integration theory which had been developed by Igor Kluvanek (see Š. Tkacik [9]). We present an outline of this theory.
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http://hdl.handle.net/11716/9195
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