泛函积分中值定理“中间点”的渐近性  

Asymptotic Behavior of the “Intermediate Point” for Functional Integrals Mean Value Theorem

作　　者：张芯语 张树义[1] 聂辉 ZHANG Xin-yu;ZHANG Shu-yi;NIE Hui(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：《烟台大学学报（自然科学与工程版）》2019年第3期210-213,共4页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(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积分中值定理“中间点”的渐近性态,建立了泛函积分中值定理“中间点”的几个新的更为广泛的渐近估计式。获得的结果推广和改进了有关文献中的相应结果。We present a study on the asymptotic behavior of the intermediate point for integrals mean value theorem in normed linear spaces by using the concept of comparison function. Several new asymptotic estimation formulas for functional integrals mean value theorem are established, providing an extension and an improvement of some previous works.

关 键 词：比较函数 F-可微 泛函积分中值定理 中间点 渐近性 

分 类 号：O177.91[理学—数学]