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On Hilbert’s Integral Inequality and Its Applications

DOI: 10.4236/am.2011.23045, PP. 379-382

Keywords: Hilbert's Integral Inequality, Holder's Inequality, Weight Function

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Abstract:

The main result of this paper is presented as follows Let h is homogeneous and symmetric of degree and Then where provided the integrals on the RHS do exists. Some other special cases are also deduced

 References

[1]  G. H. Hardy, J. E. Littlewood and G. Polya, “Inequalities,” Cambridge University Press, Cambridge, 1952.
[2]  J. E. Mitronovic, J. E. Pecaric and A. M. Fink, “Inequalities Involving Functions and Their Integrals and Derivatives,” Boston Kluwer Academic Publishers, 1991.
[3]  P. X. Ying and G. Mingzhe, “On Hilbert’s Integral Inequality and Its Applications,” Journal of Applied Mathematics, Preprint.

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