A New Extension of Hilbert-type Integral Inequality with Two Pairs of Conjugate Exponents

CHEN Guangsheng

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A New Extension of Hilbert-type Integral Inequality with Two Pairs of Conjugate Exponents

CHEN Guangsheng *

Department of Computer Engineering,Guangxi Modern Vocational Technology College

*Correspondence author

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Funding: none

Opened online:10 December 2010

Accepted by: none

Citation: CHEN Guangsheng.A New Extension of Hilbert-type Integral Inequality with Two Pairs of Conjugate Exponents[OL]. [10 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4394822

In the paper, by introducing two pairs of conjugate exponents(p，q) and (r，s), we establish a new generalizations of the Hilbert-type ineqaulity with a best constant. As application, the reverse and its equivalent form are considered.

Keywords:mathematical analysis; Hilbert's type integral inequality; conjugate exponent;Holder inequality;equivalent form

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