A Hilbert Integral-Type Inequality with Parameters
A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then some important and especial results are enumerated. As applications, some equivalent forms a...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2010-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2010/486127 |
Summary: | A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is
proved to be the best possible. And then some important and especial results are enumerated.
As applications, some equivalent forms are studied. |
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ISSN: | 0161-1712 1687-0425 |