Journal of Shanghai University(Natural Science Edition) ›› 2011, Vol. 17 ›› Issue (5): 603-605.doi: 10.3969/j.issn.1007-2861.2011.05.006
• Mathematics.Physics and Chemistry • Previous Articles Next Articles
YANG Bi-cheng
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Abstract: Using the method of weight functions and the technique of real analysis, a new Hilbert-type integral inequality with a non-homogeneous kernel exp (-βxy), β>0, and a best constant factor is given. The equivalent form and the reverses are considered.
Key words: equivalent form, Hilbert-type integral inequality, reverse, weight function
CLC Number:
 
O 178
YANG Bi-cheng. Hilbert-Type Integral Inequality with Non-homogeneous Kernel[J]. Journal of Shanghai University(Natural Science Edition), 2011, 17(5): 603-605.
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URL: https://www.journal.shu.edu.cn/EN/10.3969/j.issn.1007-2861.2011.05.006
https://www.journal.shu.edu.cn/EN/Y2011/V17/I5/603