New exponential-Hardy–Hilbert-type integral inequalities

In this article, we advance the study of exponential-type Hardy–Hilbert integral inequalities by presenting two new results characterized by their exponential structure. Based on these results, we derive several related inequalities that could be useful for further theoretical exploration and practical applications. Some of these inequalities involve the primitives of the main functions, while others incorporate additional auxiliary functions.

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Publication Details

Journal
Acta Universitatis Sapientiae Mathematica
Published
2025-11-04
DOI
https://doi.org/10.1007/s44426-025-00017-9
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

New exponential-Hardy–Hilbert-type integral inequalities

Christophe Chesneau
Acta Universitatis Sapientiae Mathematica
Mathematical Inequalities and Applications
article

New exponential-Hardy–Hilbert-type integral inequalities

Christophe Chesneau
article en

Abstract

In this article, we advance the study of exponential-type Hardy–Hilbert integral inequalities by presenting two new results characterized by their exponential structure. Based on these results, we derive several related inequalities that could be useful for further theoretical exploration and practical applications. Some of these inequalities involve the primitives of the main functions, while others incorporate additional auxiliary functions.

Acta Universitatis Sapientiae MathematicaVol. 17(1)
Université de Caen Normandie (FR)
Openalex Percentile: Top 55%
Mathematical Inequalities and Applications
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New exponential-Hardy–Hilbert-type integral inequalities — Christophe Chesneau · Acta Universitatis Sapientiae Mathematica (2025) | TGRS Research Map | TGRS