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On multiple Hardy-Hilbert integral inequalities with some parameters. (English) Zbl 1133.26315

Summary: By introducing some parameters and norm \(\| x\| _\alpha\) \((x\in \mathbb R^{n})\), we give multiple Hardy-Hilbert integral inequalities, and prove that their constant factors are the best possible when parameters satisfy appropriate conditions.

MSC:

26D15 Inequalities for sums, series and integrals
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References:

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