Search

Start Over Subject bounded variation in the sense of Hardy-Krause

1. A multidimensional integration by parts formula for the Henstock-Kurzweil integral

Creator:
Lee, Tuo-Yeong
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Henstock-Kurzweil integral, bounded variation in the sense of Hardy-Krause, and integration by parts
Language:
English
Description:
It is shown that if g is of bounded variation in the sense of Hardy-Krause on ∏m i=1 [ai , bi ], then gχ ∏m i=1 (ai ,bi ) is of bounded variation there. As a result, we obtain a simple proof of Kurzweil’s multidimensional integration by parts formula.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

Limit your search