On a Relation to Hilbert's Integral Inequality and a Hilbert-Type Inequality

- Journal title : Kyungpook mathematical journal
- Volume 49, Issue 3, 2009, pp.563-572
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2009.49.3.563

Title & Authors

On a Relation to Hilbert's Integral Inequality and a Hilbert-Type Inequality

Yang, Bicheng;

Yang, Bicheng;

Abstract

In this paper, by introducing some parameters and using the way of weight function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert's integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.

Keywords

Hilbert's integral inequality;weight function;H-L-P inequality;

Language

English

Cited by

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