2005•Unpublished venueRequires access

The multi-parameters extension of Hardy-Hilbert's inequality

Xuemei Gao

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Abstract

It is shown that the Hardy-Hilbert's inequality can be multi-parameter extended by means of a sharpening of Hlder's inequality and by introducing parameters A、B and C. As its applications,a extended Hardy-Hilbert's inequality is given.

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What this paper is about

It is shown that the Hardy-Hilbert's inequality can be multi-parameter extended by means of a sharpening of Hlder's inequality and by introducing parameters A、B and C. As its applications,a extended Hardy-Hilbert's inequality is given.

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Available abstract

It is shown that the Hardy-Hilbert's inequality can be multi-parameter extended by means of a sharpening of Hlder's inequality and by introducing parameters A、B and C. As its applications,a extended Hardy-Hilbert's inequality is given.

Key concepts: Sharpening, Inequality, Mathematics, Log sum inequality, Rearrangement inequality, Hölder's inequality, Kantorovich inequality, Extension (predicate logic)

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