Van der Corput不等式的进一步改进
Further Improvement of Van der Corput’s Inequality

作者: 洪 静 :湖南大学生物学院; 洪 勇 :广东商学院数学与计算科学学院;

关键词: Van der Corput不等式Euler常数凸函数加权平均值不等式Van der Corput’s Inequality Euler Constant Convex Function Weighted Mean Inequality

摘要: 本文首先改进对Euler常数的估计式,在胡克已改进的Van der Corput不等式的基础上进一步改进Van der Corput不等式,得到其中r Euler常数,

On the basis of Hu Kes result, by reforming the estimate inequality of Euler constant, the improved Van der Corputs inequality is obtained. Our result is:

where r is Euler constant, , .

文章引用: 洪 静 , 洪 勇 (2013) Van der Corput不等式的进一步改进。 理论数学, 3, 9-13. doi: 10.12677/PM.2013.31003


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