Two exponential-trigonometric Hardy-Hilbert-type integral inequalities in the whole plane

The literature contains a wide variety of Hardy-Hilbert-type integral inequalities.In this article, two new inequalities of this kind are derived in the entire plane, characterized by their exponential-trigonometric structure.The newly obtained inequalities are formulated in a flexible manner, depending on several adjustable parameters.

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Publication Details

Journal
Contributions to Mathematics
Published
2025-11-10
DOI
https://doi.org/10.47443/cm.2025.081
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

Two exponential-trigonometric Hardy-Hilbert-type integral inequalities in the whole plane

Christophe Chesneau
Contributions to Mathematics
Mathematical Inequalities and Applications
article

Two exponential-trigonometric Hardy-Hilbert-type integral inequalities in the whole plane

Christophe Chesneau
article en

Abstract

The literature contains a wide variety of Hardy-Hilbert-type integral inequalities.In this article, two new inequalities of this kind are derived in the entire plane, characterized by their exponential-trigonometric structure.The newly obtained inequalities are formulated in a flexible manner, depending on several adjustable parameters.

Contributions to MathematicsVol. 12
Université de Caen Normandie (FR)
Openalex Percentile: Top 54%
Mathematical Inequalities and Applications
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Two exponential-trigonometric Hardy-Hilbert-type integral inequalities in the whole plane — Christophe Chesneau · Contributions to Mathematics (2025) | TGRS Research Map | TGRS