Open Access
2005 ON A RELATION BETWEEN CARLEMAN'S INEQUALITY AND VAN DER CORPUT'S INEQUALITY
Bicheng Yang
Taiwanese J. Math. 9(1): 143-150 (2005). DOI: 10.11650/twjm/1500407751

Abstract

By introducing a parameter $\lambda \in [0,1]$, 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 $e^{\frac{1}{1-\lambda}}$, $\lambda \in [0,1)$ is considered.

Citation

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Bicheng Yang. "ON A RELATION BETWEEN CARLEMAN'S INEQUALITY AND VAN DER CORPUT'S INEQUALITY." Taiwanese J. Math. 9 (1) 143 - 150, 2005. https://doi.org/10.11650/twjm/1500407751

Information

Published: 2005
First available in Project Euclid: 18 July 2017

zbMATH: 1066.26024
MathSciNet: MR2122909
Digital Object Identifier: 10.11650/twjm/1500407751

Subjects:
Primary: 26D15

Keywords: Carleman's inequality , Euler-Maclaurin's formula , Van der Corput's inequality

Rights: Copyright © 2005 The Mathematical Society of the Republic of China

Vol.9 • No. 1 • 2005
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