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New Versions of the Hermite--Hadamard Inequality in the Framework of Weighted Riemann--Liouville Integrals

Year: 2026

Type: article

Abstract: This paper presents new Hermite–Hadamard type inequalities within a unified analytic framework. The study uses the modified (h,m)-class of convex functions, which consolidates different notions of convexity. By applying weighted Riemann–Liouville operators, a flexible scheme is developed to control inequality behavior through weight functions and model parameters. The results recover classical and recent inequalities under suitable choices and demonstrate practical relevance with exponential weights, enabling direct applications to fractional integrals and complex mathematical models.

Source: Journal of Inequalities and Mathematical Analysis

DOI: 10.63286/jima.071

Authors: Bahtiyar Bayraktar, Juan Eduardo Nápoles Valdés, María Nubia Quevedo Cubillos

Institutions: Bursa Uludağ Üni̇versi̇tesi̇, National University of the Northeast, Military University Nueva Granada

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7204195359

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