(1) Mathematical Institute Slovac Academy of Sciences, tefánikova 49, 81473 Bratislava, Slovakia;(2) Department of Mathematics, University of Constantin Philosopher, Faculty of Natural Sciences, Farská 19, 949 74 Nitra, Slovakia
Abstract:
This paper generalizes the results of papers which deal with the Kurzweil-Henstock construction of an integral in ordered spaces. The definition is given and some limit theorems for the integral of ordered group valued functions defined on a Hausdorff compact topological space T with respect to an ordered group valued measure are proved in this paper.