摘要
设m ,n是任意二自然数 ,则常义积分∫ba ｜f(x)｜mdx<+∞ ∫ba ｜f(x)｜ndx<+∞。对于这个等价关系 ,无界函数的广义积分∫ba｜f(x) ｜dx和无穷级数 ∑∞i=1｜ui｜各自保留了彼此相反的一半的性质 。
Let m and n be two arbitrary natural numbers, then, regular integral ∫ b a｜f(x)｜ m d x<+∞∫ b a｜f(x)｜ n d x<∞ .To this equivalent relation, extended integral of boundless function ∫ b a｜f(x)｜ d x and infinite sevies ∑∞i=1｜u i｜ retain the half properties respectively which are oppsite to each other,however, extended integral of infinite limit denies these properties completely.
基金
重庆市教委自然科学基金资助项目
