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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 241-244On a Generalization of Hilbert’s Inequality and...

On a Generalization of Hilbert’s Inequality and its Reinforcement

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Abstract:

The purposeof this paper is to establish on a generalization of Hilbert’s inequality and its reinforcement.

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Periodical:

Applied Mechanics and Materials (Volumes 241-244)

Pages:

2858-2861

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.241-244.2858

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Cite this paper

Online since:

December 2012

Authors:

Gao Wen Xi

Keywords:

Cauchy’s Inequality, Generalization, Hilbert’s Inequality, Reinforcement, Weight Coefficient

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] G.H. Hardy, J. E. Littlewood and G. Polya: Inequalities . Cambridge University Press (1934).

[2] C.L. Hsu, Y.J. Wang: A refinement of Hilbert' s double series theorem. J math. Res Exp, 11(1)(1991), pp.143-144.

[3] M.Z. Gao: A note the Hardy-Hilbert inequality. J Math Anal Appl, 204(1996), pp.346-351.

[4] B.C. Yang: A refinement on the general Hilbert's double series theorem. J. of Math. Study, 29(2) (1996), pp.64-70.

[5] B.C. Yang and M.Z. Gao: On a best value Hardy-Hilbert's inequality. Advan. In Math., , 26(2) (1997), pp.159-164.

[6] B.C. Yang and L. Debneth: On new strengthened Hardy-Hilbert's inequality. Internat. J. Math. Sci., 21(2) (1998), pp.403-408.

[7] B.C. Yang: On a strengthened Hilbert's inequality and its application. J. of Xinyang Teachers College(Natural Science Edition), 15(4) (2002), pp.387-389.

[8] Z.X. Lv: A new generalization and improvement of Hardy-Hilbert's inequality. Math. In Practice and Theory, 35(5) (2005), pp.141-145.