On the Integral Analogue of Two New Type Hilbert Generalization Inequalities

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

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
URI https://vuir.vu.edu.au/id/eprint/17722
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Hilbert integral inequality, Holder integral inequality, Tchebychef integral inequality
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