| 关于一个积分不等式的一些注记 |
| |
| 引用本文： | 胡剑骏.关于一个积分不等式的一些注记[J].数学季刊,2008,23(4). |
| |
| 作者姓名： | 胡剑骏 |
| |
| 作者单位： | College;Science;Zhejiang;University;Hangzhou;310058;China; |
| |
| 摘 要： | Given two positive constantsαandβ,we prove that the integral inequality∫_0~1 f~(α+β)(x)dx≥∫_0~1 f~α(x)x~βdx holds for all non-negative valued continuous functions f satisfying∫_x~1 f(t)dt≥∫_x~1 tdt for x∈0,1]if and only ifα+β≥1.This solves an open problem proposed recently by Ngo,Thang,Dat,and Tuan.
|
| 关 键 词： | 积分不等式 连续函数 数学分析 解题方法 |
Some Remarks on an Integral Inequality |
| |
| HU Jian-jun.Some Remarks on an Integral Inequality[J].Chinese Quarterly Journal of Mathematics,2008,23(4). |
| |
| Authors: | HU Jian-jun |
| |
| Institution: | College of Science, Zhejiang University, Hangzhou 310058, China |
| |
| Abstract: | |
| |
| Keywords: | integral inequality continuous function |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
