佛山科学技术学院学报（自然科学版）2025，Vol.43Issue(1)：48-52,5.
微分中值定理的推广及其应用
The extension and application of differential mean value theorem
摘要
Abstract
By using the idea of substitution and constructing appropriate auxiliary functions,the Rolle's mean value theorem,Lagrange's mean value theorem,and Cauchy's mean value theorem were comprehensively extended.The application of these extended mean value theorems in proving differential equations and inequalities was explained through examples.关键词
罗尔中值定理/拉格朗日中值定理/柯西中值定理/辅助函数/微分不等式Key words
Rolle's mean value theorem/Lagrange's mean value theorem/Cauchy's mean value theorem/auxiliary function/differential inequality分类
数理科学引用本文复制引用
赵莉莉..微分中值定理的推广及其应用[J].佛山科学技术学院学报（自然科学版）,2025,43(1):48-52,5.基金项目
云南省教育厅自然科学基金资助项目(2020J0020) （2020J0020）
云南大学教育教学改革基金项目(2023Y22) （2023Y22）
