2002Victoria University Research Repository (Victoria University)Requires access

On Generalizations of Two New Type Hilbert Integral Inequalities

Xiaoyan Li, Binwu He, Chang-Jian Zhao, Gangsong Leng

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Abstract

In 1998, two new inequalities similar to Hilbert integral inequality were given by B.G.Pachpatte. The main purpose of the present article is to generalize these two new inequalities by Holder integral inequality, Tchebychef integral inequality and Jensen inequality.

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What this paper is about

In 1998, two new inequalities similar to Hilbert integral inequality were given by B.G.Pachpatte. The main purpose of the present article is to generalize these two new inequalities by Holder integral inequality, Tchebychef integral inequality and Jensen inequality.

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Available abstract

In 1998, two new inequalities similar to Hilbert integral inequality were given by B.G.Pachpatte. The main purpose of the present article is to generalize these two new inequalities by Holder integral inequality, Tchebychef integral inequality and Jensen inequality.

Key concepts: Mathematics, Inequality, Hölder's inequality, Kantorovich inequality, Log sum inequality, Rearrangement inequality, Type (biology), Pure mathematics

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