An Extended Multiple Hardy-Hilbert’s Integral Inequality

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Abstract

In this paper, by introducing the norm $∥x∥_α (x ∈ \boldsymbol{R}^n)$, a multiple Hardy-Hilbert's integral inequality with the best constant factor and it's equivalent form are given.

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multiple Hardy-Hilbert's integral inequality weight function best constant factor $β$-function $Γ$-function.
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An Extended Multiple Hardy-Hilbert’s Integral Inequality. (2021). Communications in Mathematical Research, 29(1), 14-22. https://gsp.tricubic.dev/cmr/article/view/8752