拉氏中值定理的两种推广形式及其统一结构  

Two Deductive Forms and the Unified Structure of Lagrange Mean Value Theorem

作　　者：宋振云[1] 

机构地区：[1]湖北职业技术学院信息技术学院,湖北孝感432000

出　　处：《湖北职业技术学院学报》2009年第1期84-87,共4页Journal of Hubei Polytechnic Institute

摘　　要：文章对拉格朗日中值定理的推广形式——高阶拉格朗日中值定理提出了另一种证法,并提出了从中间点的个数上推广的拉朗日中值定理及从阶数和中间点的个数上同时推广的拉格朗日中值定理。Through another verification method of higher order Lagrange Mean Value Theorem - a deductive form of this theorem, the author puts forward the deductive form of Lagrange Mean Value Theorem by the number of intermediate points, and by both the number of intermediate point and the factorial power.

关 键 词：拉格朗日中值定理 推广形式 中间点 数学归纳法 

分 类 号：O712.1[理学—晶体学]