creative_2010_19_2_218_226_001

Hardy-Hilbert integral inequality with weights


Shang XiaozhouGao MingzheMihaly Bencze


Abstract

creative_2010_19_2_218_226_abstract

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creative_2010_19_2_218_226

We study a Hardy-Hilbert integral inequality with weights by introducing a weight function of the form x 2 r − 1 (with r > 1), and prove the constant factor to be the best possible, and give an extension of the Hilbert integral inequality, and then consider some equivalent forms.

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Author(s)

Bencze, Mihaly, Mingzhe, Gao, Xiaozhou, Shang