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All-sided generalization of Hardy-Hilbert integral inequalities. (Chinese. English summary) Zbl 1034.26017

By introducing some parameters and the \(\Gamma\) function, the author gives a general higher-dimensional Hardy-Hilbert integral inequality (in (3.1)) and some particular results (for the two-dimensional case). It is a useful generalization of the Hardy-Hilbert integral inequality.

MSC:

26D15 Inequalities for sums, series and integrals