On a relation between Carleman's inequality and Van der Corput's inequality

被引：1

作者：

Yang, BC ^{[1
]}

机构：

[1] Guangdong Educ Coll, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2005年 / 9卷 / 01期

关键词：

Carleman's inequality; van der Corput's inequality; Euler-Maclaurin's formula;

D O I：

10.11650/twjm/1500407751

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By introducing a parameter lambda is an element of [0, 1], we give an inequality relating Carleman's inequality with Van der Corput's inequality. In particular, a generalization of Carleman's inequality with a best constant factor e(1)/(1-lambda), lambda is an element of [0, 1) is considered.

引用

页码：143 / 150

页数：8

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