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On the Integral Analogue of Two New Type Hilbert Generalization Inequalities

Zhao, Chang-Jian and Bencze, Mihály (2002) On the Integral Analogue of Two New Type Hilbert Generalization Inequalities. RGMIA research report collection, 5 (2).

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Abstract

It is well-known that the Hilbert double series inequality plays an important role in mathematical analysis and its applications. In 1998, two new inequalities similar to Hilbert double series inequality were given by B.G.Pachpatte. Recently, these two new inequalities were generalized in [4]. The main purpose of the present article is to give the integral analogue of these two generalization inequalities by Holder integral inequality, Tchebychef integral inequality and Jensen inequality.

Item Type: Article
Uncontrolled Keywords: Hilbert integral inequality, Holder integral inequality, Tchebychef integral inequality
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 03:17
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17722
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