摘要
利用Schwarz导数推广和改进了微分中值定理(Role,Lagrange,Cauchy定理),此外还推广了著名的微分学基本定理、Newton-Leibniz积分公式。
In this paper,the mean theorems in textbooks are generalized and improved by using Schwarz derivative.Moreover,our results are applized to generalize the basic theorem of the derivative ,the NewtonLeibniz formula for the Riemann integral, stringent monotonous character on functions and the existence of theorem of hiding function.
出处
《柳州师专学报》
1998年第1期66-71,共6页
Journal of Liuzhou Teachers College
关键词
SCHWARZ导数
微分中值定理
微分学
柯西中值定理
Schwarz derivative,mean value theorem for differential calculus,generalization,application