Open Access
2008 A MULTIDIMENSIONAL GENERALIZATION OF HARDY-HILBERT’S INTEGRAL INEQUALITY
Hong Yong
Taiwanese J. Math. 12(2): 269-279 (2008). DOI: 10.11650/twjm/1500574152

Abstract

In this paper, by introducing norm $\|x\|_{\alpha}(x\in R^{n})$, we give a multidimensional Hardy-Hilbert's integral inequality with two parameters $\alpha$, $\lambda$ and best constant factor.

Citation

Download Citation

Hong Yong. "A MULTIDIMENSIONAL GENERALIZATION OF HARDY-HILBERT’S INTEGRAL INEQUALITY." Taiwanese J. Math. 12 (2) 269 - 279, 2008. https://doi.org/10.11650/twjm/1500574152

Information

Published: 2008
First available in Project Euclid: 20 July 2017

zbMATH: 1221.26035
MathSciNet: MR2402113
Digital Object Identifier: 10.11650/twjm/1500574152

Subjects:
Primary: 26D15

Keywords: $\beta$-function , $\Gamma$-function , multidimensional Hardy-Hilbert's integral inequality , the best constant factor

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 2 • 2008
Back to Top