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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 166-169On an Extension of Hilbert Inequality

On an Extension of Hilbert Inequality

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Abstract:

In this paper, by using Hadamard inequality and Cauchy inequality, an extension of Hilbert inequality is established.

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Periodical:

Applied Mechanics and Materials (Volumes 166-169)

Pages:

3023-3026

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.166-169.3023

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Online since:

May 2012

Authors:

Bao Ju Sun

Keywords:

Cauchy Inequality, Hadamard Inequality, Hilbert Inequality

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Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

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Citation:

[1] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Gambridge University Press, Gambridge, 1952.

[2] X. Zhang, Y. Chu, New discussion to analytic inequalities, Harbin institute of technology press,2009.

[3] M. Gao, B. Yang, On the extended Hilbert's inequality, Proceeding of the American Mathematical Society 126 (1998), no.3, 751-759

[4] J. Kuang, L. Debnath, On new generalizations of Hilbert's inequality and their applications, Journal of Mathematical Analysis and Applications 245 (2000), no.1, 248-265.

DOI: 10.1006/jmaa.2000.6766

[5] B. Yang, On a strengthened version of the more accurate Hardy-Hilbert's inequality, Acta Mathematica, Sinica (China) 42 (1999), no.6, 1103-1110.