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几类中值定理中值点的稳定性与渐近性

张树义

南阳师范学院学报2026,Vol.25Issue(3):24-39,16.
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.

南阳师范学院学报

OACHSSCD

1671-6132

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