Subject: bounded variation in the sense of Hardy-Krause and integration by parts

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

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

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