泛函微分中值公式“中间点”的渐近估计式  

Asymptotic Estimation Formulas of the “Intermediate Point” for Functional Differential Mean Value Formula

作　　者：张芯语 张树义[1] 聂辉 ZHANG Xinyu;ZHANG Shuyi;Nie Hui(School of Mathematics and Physics,Bohai University,Jinzhou 121013,China)

机构地区：[1]渤海大学数理学院

出　　处：《鲁东大学学报（自然科学版）》2019年第3期198-202,共5页Journal of Ludong University:Natural Science Edition

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

摘　　要：本文利用比较函数,在赋范线性空间中研究微分中值公式"中间点"的渐近性态,建立了微分中值公式"中间点"的几个新的更为广泛的渐近估计式.所获得的结果推广和改进了有关文献中的相应结果.The asymptotic behavior of the intermediate point for differential mean value formula in normed linear spaces was studied by using the concept of comparison function,and establish several new asymptotic estimation formulas for functional differential mean value formula.The results obtained generalize and improve the corresponding results in the relevant reference.

关 键 词：比较函数 F-可微 泛函微分中值公式冲间点 渐近性 

分 类 号：O177.91[理学—数学]