高阶Cauchy中值定理“中间点”当x→+∞时的两个新的渐近估计式  

Two Asymptotic Estimation Formulas of the "Intermediate Point" for High Order Cauchy Mean Value Theorem When x is Near

作　　者：张芯语 张树义[1] 郑晓迪 ZHANG Xinyu;ZHANG Shuyi;ZHENG Xiaodi(College of Mathematics and Physics,Bohai University,Jinzhou 121013,China;Department of Computer,Jinzhou Normal College,Jinzhou 121001,China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013 [2]锦州师范高等专科学校计算机系,辽宁锦州121001

出　　处：《南通大学学报（自然科学版）》2019年第1期78-82,共5页Journal of Nantong University(Natural Science Edition)　

基　　金：渤海大学研究生创新基金项目(YJC20170036)

摘　　要：在无穷区间上研究高阶Cauchy中值定理“中间点”当x→+∞时的渐近性态。在一定条件下,建立了高阶Cauchy中值定理“中间点”当x→+∞时的两个新的渐近估计式,从而改进和推广了现有文献中的相应结果。The asymptotic behavior of "intermediate point" of high order Cauchy mean value theorem is studied when x is near +∞.Under certain conditions,two more extensive asymptotic estimation formulas of "intermediate point" for high order Cauchy mean value theorem is established when x is near +∞.The results improve and extend the corresponding results of previous studies.

关 键 词：高阶Cauchy中值定理 无穷区间 中间点 渐近估计式 

分 类 号：O171[理学—数学]