柯西中值定理“中间点”的渐近性研究  

Study of Asymptotic Behavior of the “Intermediate Point” for Cauchy Mean Value Theorem

作　　者：聂辉 张树义[1] NIE Hui;ZHANG Shuyi(College of Mathematics and Physics,Bohai University,Jinzhou,Liaoning 121013,China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《湖南城市学院学报（自然科学版）》2019年第3期51-53,共3页Journal of Hunan City University:Natural Science

基　　金：渤海大学研究生创新项目(YJC20170036)

摘　　要：在无穷区间上研究柯西中值定理"中间点"当x→+∞时渐近性态,在一定条件下,建立了柯西中值定理"中间点"当x→+∞时一个新的渐近估计式,并举例说明所得结果的有效性以及其应用的广泛性,从而推广和改进了有关文献中的结果.The purpose of this paper is to study the asymptotic behavior of the "intermediate point" of Cauchy mean value theorem when x tends to +∞. Under the certain conditions, a new asymptotic estimation formulas of "intermediate point" for Cauchy mean value theorem is established as x tends to +∞. An example is also given to illustrate the validity and universality of the result of this paper. The results that are presented in this paper extend and improve the corresponding results in some references.

关 键 词：柯西中值定理 无穷区间 中间点 

分 类 号：O171[理学—数学]