Integration by parts for perron type integrals of order 1 and 2 in Riesz spaces
By using the famous Maeda-Ogasawara-Vulikh theorem on a representation of an Archimedean Riesz space and the notions of global limit, derivative and continuity of Riesz space-valued functions, the authors investigated some fundamental properties of the Perron type integrals of order 1 and 2 in the Riesz space-valued case. The main results of the paper are useful analogues of the integration by parts formulae for these integrals.
scientific article; zbMATH DE number 5285850