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2011•Unpublished venueRequires access

On a new extension of Hardy-Hilbert’s type integral inequality

Xuemei Gao

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Abstract

Hardy-Hilbert’s inequality with integral kernel function and parameter λ(λ 1) is investigated.Some improvements of Hardy-Hilbert’s inequality are given by means of a sharpening of Hlder’s inequality and some new inequalities are established.

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What this paper is about

Hardy-Hilbert’s inequality with integral kernel function and parameter λ(λ 1) is investigated.Some improvements of Hardy-Hilbert’s inequality are given by means of a sharpening of Hlder’s inequality and some new inequalities are established.

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Available abstract

Hardy-Hilbert’s inequality with integral kernel function and parameter λ(λ 1) is investigated.Some improvements of Hardy-Hilbert’s inequality are given by means of a sharpening of Hlder’s inequality and some new inequalities are established.

Key concepts: Mathematics, Sharpening, Hölder's inequality, Inequality, Log sum inequality, Rearrangement inequality, Bessel's inequality, Cauchy–Schwarz inequality

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