Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 309319, 12 pages
Research Article

On a Multiple Hilbert's Inequality with Parameters

Department of Mathematics, Guangdong Institute of Education, Guangzhou, Guangdong 510303, China

Received 12 May 2010; Accepted 31 August 2010

Academic Editor: Wing-Sum Cheung

Copyright © 2010 Qiliang Huang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


By introducing multiparameters and conjugate exponents and using Hadamard's inequality and the way of real analysis, we estimate the weight coefficients and give a multiple more accurate Hilbert's inequality, which is an extension of some published results. We also prove that the constant factor in the new inequality is the best possible and consider its equivalent form.