摘要
给出了一个高阶导数形式的、广义的C auchy型的T ay lor公式,它将数学分析中一阶微分形式的C auchy中值定理推广到高阶导数形式,同时它也是T ay lor中值定理的推广.
Taylor's formula of having the form of higher order derivative and generalized Cauchy type is obtained, which extends Cauchy's mean-value theorem of differential form of first order in mathematical analysis to the form of higher order derivative, and is the spread of Taylor's mean-value theorem.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第21期214-216,共3页
Mathematics in Practice and Theory
基金
重庆市教委科学技术研究项目(KJ090627)
关键词
中值定理
高阶导数
辅助函数
mean-value theorem
higher order derivative
supplementary function