Integration by parts for perron type integrals of order 1 and 2 in Riesz spaces
type: Item
instance of: scholarly article
title: Integration by parts for perron type integrals of order 1 and 2 in Riesz spaces
zbMATH Open document ID: 1154.28303
published in: Results in Mathematics
publication date: 2008-06-10T00:00:00Z
review text: 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.
reviewed by: Jun Kawabe
Mathematics Subject Classification ID: 28B15
Mathematics Subject Classification ID: 28B05
Mathematics Subject Classification ID: 28B10
zbMATH DE Number: 5285850
zbMATH Keywords: Riesz space
zbMATH Keywords: Riemann-Stieltjes integral
zbMATH Keywords: Perron integral
zbMATH Keywords: major function
zbMATH Keywords: minor function
zbMATH Keywords: integration by parts
author: A. Boccuto
author: A. R. Sambucini
author: Valentin Skvortsov
MaRDI profile type: Publication
full work available at URL: s00025-007-0254-4
OpenAlex ID: W2084661448
DOI: 10.1007/S00025-007-0254-4
description: scientific article; zbMATH DE number 5285850