# [1]赵显曾.一个积分域没有面积的二重积分[J].东南大学学报(自然科学版),1999,29(6):81-85.[doi:10.3969/j.issn.1001-0505.1999.06.018] 　Zhao Xianzeng.A Double Integrae There is “No Area” in the Region of Integration[J].Journal of Southeast University (Natural Science Edition),1999,29(6):81-85.[doi:10.3969/j.issn.1001-0505.1999.06.018] 点击复制 一个积分域没有面积的二重积分() 分享到： var jiathis_config = { data_track_clickback: true };

29

1999年第6期

81-85

2000-11-20

## 文章信息/Info

Title:
A Double Integrae There is “No Area” in the Region of Integration

Author(s):
Zhao Xianzeng
Department of Applied Mathematics, Southeast University, Nanjing 210096

Keywords:

O172.2
DOI:
10.3969/j.issn.1001-0505.1999.06.018

Abstract:
In this paper, first a bounded region of integration, which has no area, is constructed and later a positive valued integrand function in the region whose double integral exists, is defined.

## 参考文献/References:

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[2] 汪林.实分析中的反例.北京:高等教育出版社,1989.1～2
[3] 廖可人,李正元.数学分析:第三册.北京:高等教育出版社,1987.10～11
[4] 何琛,史济怀,徐森林.数学分析:第二册.北京:高等教育出版社,1985.156,153
[5] 夏道行,吴卓人,严绍宗,等.实变函数论与泛函分析:上册.北京:人民教育出版社,1978.65～66
[6] 赵显曾.高等微积分.北京:高等教育出版社,1991.199

## 相似文献/References:

[1]赵显曾.关于Riemann可积函数的本性[J].东南大学学报(自然科学版),1995,25(6):9.[doi:10.3969/j.issn.1001-0505.1995.06.002]
Zhao Xianzeng.On Essential Feature of Kiemann-Integrable Functions[J].Journal of Southeast University (Natural Science Edition),1995,25(6):9.[doi:10.3969/j.issn.1001-0505.1995.06.002]