<p>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.</p>

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New exponential-Hardy–Hilbert-type integral inequalities

  • Christophe Chesneau

摘要

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.