A MULTIDIMENSIONAL INTEGRATION BY PARTS FORMULA FOR THE HENSTOCK-KURZWEIL INTEGRAL

被引：0
|
作者：
Lee, Tuo-Yeong [1 ]
机构：
[1] Nanyang Technol Univ, Natl Inst Educ, Math & Math Educ, 1 Nanyang Walk, Singapore 637616, Singapore
来源：
MATHEMATICA BOHEMICA | 2008年 / 133卷 / 01期
关键词：
Henstock-Kurzweil integral; bounded variation in the sense of Hardy-Krause; integration by parts;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that if g is of bounded variation in the sense of Hardy-Krause on Pi(m)(i=1) [a(i), b(i)], then g chi (m)(Pi 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.
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页码：63 / 74
页数：12
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