几类中值定理中值点的稳定性与渐近性OACHSSCD
Stability and Asymptotic Behavior of Mean Value Points in Several Types of Mean Value Theorems
研究几类中值定理中值点的稳定性与渐近性,首先,使用数学分析方法,研究了几类中值定理中值点的 Hy-ers-Ulam稳定性.其次,利用比较函数在一定条件下,建立了几类中值定理中值点的渐近估计式.所得结果表明具有广泛性,推广和改进了有关文献中的相应结果,所得结论也丰富了中值定理理论.
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.
张树义
渤海大学 数学科学学院,辽宁 锦州 121013
数理科学
中值定理中值点稳定性渐近性
mean value theoremmean value pointstabilityasymptotic behavior
《南阳师范学院学报》 2026 (3)
24-39,16
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