广义积分型Cauchy中值定理“中间点”的渐近性  

Asymptotic Behavior of the“Intermediate Point”of the Generalized Integral Cauchy Mean Value Theorem

作　　者：刘红玉[1] LIU Hong-yu(Department of Mathematics,Longnan Teachers’College,Cheng County 742500,Gansu,China)

机构地区：[1]陇南师范高等专科学校数信学院,甘肃成县742500

出　　处：《兰州文理学院学报（自然科学版）》2018年第6期34-38,共5页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：陇南师范高等专科学校2017年度教学改革项目(JXGG201715)

摘　　要：研究了当区间长度趋于零时,Cauchy中值定理中间点的渐近性,得到了广义积分型Cauchy中值定理"中间点"渐近性的两个表达式,并对已有的渐近性结果进行了推广.The asymptotic behavior of the intermediate point of the Cauchy mean value theorem is studied when the interval length approaches zero.Two expressions for the asymptotic behavior of the“intermediate point”of the generalized integral Cauchy median theorem are obtained,and the existing asymptotic results are generalized.

关 键 词：广义积分 CAUCHY中值定理 中间点 渐近性 

分 类 号：O172.2[理学—数学]