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A reverse Hilbert-type inequality with a generalized homogeneous kernel | He | Tamkang Journal of Mathematics

A reverse Hilbert-type inequality with a generalized homogeneous kernel

Bing He

Abstract


Inthispaper,by introducing a generalized homogeneous kernel and estimating the weight function,a new reverse Hilbert-type integral inequality with some parameters and a best constant factor is established.Furthermore, the corresponding equivalent form is considered.


Keywords


Hilbert's integral inequality,Weight function,reverse Holder's inequality

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References


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DOI: http://dx.doi.org/10.5556/j.tkjm.42.2011.484

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