A Novel Family of Discrete Variant Inequality for Jensen and Hermite-Hadamard Types in the p-Harmonic Convex Function Setting

Contemporary Mathematics 2026 Open access

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Authors: Faiza Azhar, Muhammad Imran Asjad, Majeed Ahmad Yousif, Alina Alb Lupas, Imran Abbas Baloch, Pshtiwan Othman Mohammed
DOI: 10.37256/cm.7120268590
Cited by: 1

Abstract

This paper introduces a novel form of the discrete Jensen-type inequality specifically designed for p-harmonic convex functions, and extend it to the broader family of (p, h)-harmonic convex functions. Moreover, we have established several majorization-type inequalities in the setting of (p, h)-harmonic convexity. In addition, certain refinements of these inequalities are provided through Hermite-Hadamard-type results for p-harmonically convex functions.

Fields of Study & Subjects

Mathematical Inequalities and Applications Analytic and geometric function theory Functional Equations Stability Results

Publication details

Journal / source
Contemporary Mathematics
Publisher
Universal Wiser Publisher Pte. Ltd
Pages
940–964
Publication date
27 January 2026