Journal of Jilin University Science Edition
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HONG Yong
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Supposing that λ1λ2≠0, t>0, K(tx,y)=K(x,tλ1/λ2y), K(x,ty)=K(tλ2/λ1x,y), then K(x,y) is called transferable variable function with parameters λ1 and λ2. When λ1λ2<0, Hilbert’s type integral inequality with the kernel of transferable variable function was studied via the technique of real analysis, and the best constant factor was discussed.
Key words: transferable variable function, Hilbert’s type integral inequality, the best constant factor
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HONG Yong. A New Hilbert’s Type Integral Inequality withKernel of Transferable Variable Function[J].Journal of Jilin University Science Edition, 2014, 52(01): 7-11.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2014/V52/I01/7
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