REVISITING TWO VARIANTS OF THE HARDY-HILBERT INTEGRAL INEQUALITY

Le résumé fourni par la source

The Hardy-Hilbert integral inequality is fundamental to mathematical analysis. It has inspired a vast body of research devoted to its generalizations and refinements. This article sheds new light on the subject by demonstrating that certain variants of the inequality possess a self-extending property. This property enables us to derive well-known results from existing literature. Two distinct formulations are developed within different analytical frameworks. Reproducible proofs are provided to illustrate the underlying mechanism, which is based on successive power-type changes of variables.

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