北华大学学报(自然科学版)2017,Vol.18Issue(1):19-24,6.DOI:10.11713/j.issn.1009-4822.2017.01.004
高阶Cauchy中值定理中间点函数的性质
Properties of Intermediate Point Function for High Order Cauchy Mean Value Theorem
摘要
Abstract
The purpose of this paper is to study the differentiable behavior and asymptotic behavior of the intermediate point function in high order Cauchy mean value theorem. The first order differentiable behavior and asymptotic behavior of the intermediate point function for high order Cauchy mean value theorem are established under the certain conditions. We obtain the results to enrich the theory of mean value theorem in mathematical analysis.关键词
高阶Cauchy中值定理/中间点函数/可微性/渐近性Key words
high order Cauchy mean value theorem/intermediate point function/differentiable behavior/asymptotic behavior分类
数理科学引用本文复制引用
张树义,丛培根,郑晓迪..高阶Cauchy中值定理中间点函数的性质[J].北华大学学报(自然科学版),2017,18(1):19-24,6.基金项目
辽宁省教育厅科研项目(L2015012) (L2015012)