Parameterized Hilbert-Type Integral Inequalities in the Whole Plane
By the use of the way of real analysis, we estimate the weight functions and give some new Hilbert-type integral inequalities in the whole plane with nonhomogeneous kernels and multiparameters. The constant factors related to the hypergeometric function and the beta function are proved to be the bes...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/169061 |
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| Summary: | By the use of the way of real analysis, we estimate the weight functions and give
some new Hilbert-type integral inequalities in the whole plane with nonhomogeneous
kernels and multiparameters. The constant factors related to the hypergeometric function
and the beta function are proved to be the best possible. We also consider the
equivalent forms, the reverses, and some particular cases in the homogeneous kernels. |
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| ISSN: | 2356-6140 1537-744X |