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Article . 2025
License: CC BY
Data sources: Datacite
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
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Two contributions to the absolute-value-Hardy-Hilbert-type integral inequalities

descriptionPublicationkeyboard_double_arrow_right Article 31 Dec 2025Publisher:Asia Mathematika
Authors: chesneau, christophe;

doi: 10.5281/zenodo.18607707 , 10.5281/zenodo.18607706

Two contributions to the absolute-value-Hardy-Hilbert-type integral inequalities

Abstract

This article presents two new Hardy-Hilbert-type integral inequalities involving the absolute value function. The first result can be viewed as an analog of a well-known inequality of this type, while the second is distinguished by its originality, incorporating the sine function into the integrand. Complete and detailed proofs are provided for both results.

Keywords

Hardy-Hilbert integral inequality, absolute value function, trigonometric functions, change of variables technique

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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