泛函高阶微分中值定理“中间点”的渐近性  

Asymptotic Behavior of the “Intermediate Point” for Functional High Order Differential Mean Value Theorem

作　　者：张树义[1] 张芯语 丛培根 ZHANG Shuyi;ZHANG Xinyu;CONG Peigen(College of Mathematics and Physics,Bohai University,Jinzhou 121013,China)

机构地区：[1]渤海大学数理学院

出　　处：《杭州师范大学学报（自然科学版）》2019年第3期313-318,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11371070);渤海大学研究生创新基金项目(YJC20170036)

摘　　要：利用比较函数,在赋范线性空间中研究高阶微分中值定理“中间点”的渐近性态,建立了泛函高阶微分中值定理“中间点”几个新的更为广泛的渐近估计式,推广和改进了现有文献中的相应结果.The comparison function is used to study the asymptotic behavior of the intermediate point for high order differential mean value theorem in normed linear spaces,several new more extensive asymptotic estimation formulas for functional high order differential mean value theorem are established,and the corresponding results in the existing literatures are extended and improved.

关 键 词：比较函数 泛函高阶微分中值定理 F-可微 中间点 渐近估计式 

分 类 号：O177.91[理学—数学]