# On Hilbert-type Integral Inequalities with the Homogenous Kernel of -4-degree

• Huang, Qiliang (Department of Mathematics, Guangdong Institute of Education) ;
• He, Bing (Department of Mathematics, Guangdong Institute of Education)
• Accepted : 2008.07.09
• Published : 2009.09.30

#### Abstract

In this paper, by introducing a homogenous kernel of -4-degree, we establish a new Hilbert-type integral inequality with multi-parameter and a best constant factor. As applications, the equivalent form, the reverse forms and some particular results are given correspondingly.

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