南阳师范学院学报2026,Vol.25Issue(3):24-39,16.
几类中值定理中值点的稳定性与渐近性
Stability and Asymptotic Behavior of Mean Value Points in Several Types of Mean Value Theorems
张树义1
作者信息
- 1. 渤海大学 数学科学学院,辽宁 锦州 121013
- 折叠
摘要
Abstract
To study the stability and asymptotic behavior of the mean value points in several types of mean value theorems,firstly,the Hyers-Ulam stability of the mean points in several types of mean value theorems was inves-tigated by using mathematical analysis methods.Secondly,under certain conditions,the asymptotic estimation formulas of the mean points in several types of mean value theorems were established by using the comparison function.The obtained results are of broad applicability,generalizing and improving the corresponding results in relevant literature and the conclusions drawn also enrich the theory of the mean value theorem.关键词
中值定理/中值点/稳定性/渐近性Key words
mean value theorem/mean value point/stability/asymptotic behavior分类
数理科学引用本文复制引用
张树义..几类中值定理中值点的稳定性与渐近性[J].南阳师范学院学报,2026,25(3):24-39,16.