A generalization of van der Corput's inequality

被引:4
|
作者
Qi, Feng [1 ,2 ]
Cao, Jian [3 ]
Niu, Da-Wei [4 ]
机构
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang City 453007, Henan Province, Peoples R China
[2] Henan Polytech Univ, Res Inst Math Inequal Theory, Jiaozuo City 454010, Henan Province, Peoples R China
[3] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
[4] Zhongyuan Univ Technol, Coll Informat & Business, Zhengzhou 450007, Henan Province, Peoples R China
关键词
van der Corput's inequality; Carleman's inequality; Euler-Maclaurin sum formula; power mean inequality;
D O I
10.1016/j.amc.2008.05.054
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, van der Corput's inequality is generalized by using the well known Euler-Maclaurin sum formula and other analytic techniques. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:770 / 777
页数:8
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