| 一类广义二重积分 |
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| 引用本文： | 余显志,申小娜,李玻,严尚安,方玲.一类广义二重积分[J].后勤工程学院学报,2010,26(4):82-85. |
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| 作者姓名： | 余显志 申小娜 李玻 严尚安 方玲 |
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| 作者单位： | 后勤工程学院基础部,重庆,401311 |
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| 摘 要： | 首先利用一个收敛级数构造了R上的一个特殊开集G，然后利用平面点集可求面积的充要条件，在平面上引入了一个有界的不可求面积的积分区域Ω，最后在Ω上定义了一个取正值的分段函数，并证明了其在Ω上的广义二重积分存在。
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| 关 键 词： | 二重积分 面积 积分区域 |
A Class of Generalized Double Integral |
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| YU Xian-zhi,SHEN Xiao-na,LI Bo,YAN Shang-an,FANG Ling.A Class of Generalized Double Integral[J].Journal of Logistical Engineering University,2010,26(4):82-85. |
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| Authors: | YU Xian-zhi SHEN Xiao-na LI Bo YAN Shang-an FANG Ling |
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| Institution: | ( Dept. of Foundation Studies, LEU, Chongqing 401311, China) |
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| Abstract: | At first, a special open set G is constructed by using a convergent series. Then a bounded integration region Ω without area is introduced on the plane by using the necessary and sufficient conditions of plane point set with rectifiable area. Finally, a piecewise function achieving positive valued is defined on Ω,of which the existence of generalized double integral on Ω is proved. |
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| Keywords: | double integral area integration region |
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