数学的实践与认识
數學的實踐與認識
수학적실천여인식
MATHEMATICS IN PRACTICE AND THEORY
2009年
21期
213-216
,共4页
中值定理%高阶导数%辅助函数
中值定理%高階導數%輔助函數
중치정리%고계도수%보조함수
mean-value theorem%higher order derivative%supplementary function
给出了一个高阶导数形式的、广义的Cauchy型的Taylor公式,它将数学分析中一阶微分形式的Cauchy中值定理推广到高阶导数形式,同时它也是Taylor中值定理的推广.
給齣瞭一箇高階導數形式的、廣義的Cauchy型的Taylor公式,它將數學分析中一階微分形式的Cauchy中值定理推廣到高階導數形式,同時它也是Taylor中值定理的推廣.
급출료일개고계도수형식적、엄의적Cauchy형적Taylor공식,타장수학분석중일계미분형식적Cauchy중치정리추엄도고계도수형식,동시타야시Taylor중치정리적추엄.
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.
