An Extended Form of (p, q)-Hermite-Hadamard Inequalities via Convex Functions

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DOI: https://doi.org/10.28924/2291-8639-24-2026-149
Published: May 11, 2026
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Shiwani Singh, Shashi Kant Mishra, Pankaj Kumar, Abdelouahed Hamdi, An Extended Form of (p, q)-Hermite-Hadamard Inequalities via Convex Functions, Int. J. Anal. Appl., 24 (2026), 149.

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Shiwani Singh, Shashi Kant Mishra, Pankaj Kumar, Abdelouahed Hamdi

Abstract

The aim of this paper is to demonstrate generalized estimations for the (p, q)-Hermite-Hadamard inequalities for convex functions with two parameters. By using the same parameters, our findings are consistent with the previously established (p, q)-Hermite-Hadamard inequalities. We introduce a new lemma to derive generalized post-quantum inequalities for convex functions and show that our results extend some previously established ones. Additionally, we provide mathematical examples for specific (p, q)-functions to validate the newly obtained results.

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