摘要
众所周知，二重积分中值定理一般表述为："设Ｄ为平面上有界闭区域，ｆ（ｘ，ｙ）在Ｄ上连续，（ｘ，ｙ）在Ｄ上可积且不变号，则至少存在一点（）Ｄ，使得进一步证明了中间点（）可选为Ｄ的内点，其结论与方法完全可推广到一般多重积分中值定理。
it is Well-known that the mean value theorem in twofold integrals is stated as:'Let D be a bounded closed region of R2, f(x,y) a continuous function and g(x,y) an integrable function with invariant sign on D, then exits at least a point such that 'This paper goes further to prove that the point can be an interior point within D. And such a conclusion and the method employed to prove it are completely applicable to mean value theorem in general multiple integrals.
出处
《中国民航学院学报》
2000年第1期57-61,共5页
Journal of Civil Aviation University of China
关键词
内点
零容度集
二重积分中值定理
中间点
interior point, set of an measures, bounded dosed region, multiple integrals
