%0 Journal Article
%T Regulated functions and integrability
%A J¨¢n Gun£¿aga
%J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
%D 2009
%I Krak¨®w : Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
%X 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. Dieudonn¨¦ [2], D. Fra¨¾kov¨¢ [3] and others (see for example S. Banach [1], S. Saks [8]). The main class of functions we deal with consists of piece-wise constant ones. These functions play a fundamental role in the integration theory which had been developed by Igor Kluvanek (see  . Tkacik [9]). We present an outline of this theory.
%U http://studmath.up.krakow.pl/index.php/studmath/article/view/89