the monotone, continuity and derivative of 「intermediate value」 for integral mean value theorem are discussed.
讨论了积分中值定理中间点的单调性、连续性、可导性,给出了一组充分条件,并证明了三个相关定理。
by using the limit theory, we discuss and prove the asymptotic properties of mean point in integral mean value formula for a complex function.
利用极限理论,给出了复函数积分中值公式的「中值点」的渐近性的简洁证明。
by increasing the condition of the integral mean value theorem, we prove that the existence of intermediate point and the existence of interval are corresponding to each other.
给出了积分中值定理的一个注记,证明了中值点的存在性与覆盖中值点的区间的存在性是相互对应的。
in this paper, the asymptotic property of the 「mean pointξ」 of the second integral mean value theorem in three kinds of conditions was studied.
本文研究了在三种不同情况下积分第二中值定理中「中间点」的渐近性质。
according to the theorem of integral mean value it is proved in this paper that by means of probability integral the subsidence equivalent curve is a circle or a ellipse.
文中还根据积分中值定理证明了应用概率积分法求得的下沉等值线是椭圆形或圆形。
in this paper, under the condition of strictly monotone, discusses strictly monotone , continuity and derivatiability of integral mean value function, and the general results are obtained.
本文在严格单调的前提下,讨论了积分中值函数的严格单调性、连续性和可微性,得到了具有一般性的结论。