北华大学学报（自然科学版）2016，Vol.17Issue(4)：448-454,7.DOI:10.11713/j.issn.1009-4822.2016.04.006
积分中值定理中间点的渐近估计式
Asymptotic Estimation Formulas of the Intermediate Point for Integral Mean Value Theorem
张树义 1赵美娜 1郑晓迪2
作者信息
- 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，辽宁 锦州 121001
- 折叠
摘要
Abstract
By using the comparison function in infinite interval,under weaker conditions of g( x) integrable,more extensive asymptotic estimation formulas of the“intermediate point” in the first integral mean value theorem and the second integral mean value theorem are established when x is near +∞, as the corollaries, the asymptotic estimation formulas of the “intermediate point” of the Cauchy mean value theorem and the Taylor mean value theorem are obtained,which unify and extend corresponding results of some references.关键词
比较函数/无穷区间/中间点/洛必达法则Key words
comparison function/infinite interval/intermediate point/L’ Hospital rule分类
数理科学引用本文复制引用
张树义,赵美娜,郑晓迪..积分中值定理中间点的渐近估计式[J].北华大学学报（自然科学版）,2016,17(4):448-454,7.
