第二积分中值定理中值点的渐近性估计  

Asymptotic Estimation of Mean Value Points for the Second Integral Mean Value Theorem

作　　者：仉志余 王亚亚 ZHANG Zhi-yu;WANG Ya-ya(Department of Science,Taiyuan Institute of Technology,Taiyuan 030008,China)

机构地区：[1]太原工业学院理学系,山西太原030008

出　　处：《数学的实践与认识》2022年第5期198-210,共13页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11701528和11647034);山西省自然科学基金(2011011002-3)。

摘　　要：利用上下极限法研究第二积分中值定理中值点的渐近性态,建立了多个新的渐近性定理,推广和改进了现有文献中的多个相关结果,并给出了现有文献中很少提及的中值点趋向右端点时的渐近性结果.In this paper,the asymptotic behavior of the mean value points for the second integral mean value theorem are studied by means of the upper and lower limits method,and some new asymptotic theorem to generalize and improve the relative results in the references are established,and the asymptotic behavior of the mean value points to walk towards the right end point,which are seldom mentioned in the literature,are given.

关 键 词：上下极限 第二积分中值定理 中值点 渐近性 右端点 

分 类 号：O172.2[理学—数学]