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Keywords = GG-convex functions

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24 pages, 407 KB  
Article
Multiplicative Fractional Hermite–Hadamard-Type Inequalities in G-Calculus
by Abdelghani Lakhdari and Wedad Saleh
Mathematics 2025, 13(21), 3426; https://doi.org/10.3390/math13213426 - 27 Oct 2025
Cited by 13 | Viewed by 868
Abstract
This paper extends Hermite–Hadamard-type inequalities to the fractional multiplicative framework of G-calculus. Using multiplicative Riemann–Liouville fractional integrals, we introduce a notion of multiplicative convexity and establish fractional Hermite–Hadamard, midpoint, and trapezoidal inequalities for GG-convex functions. Examples and graphical illustrations are [...] Read more.
This paper extends Hermite–Hadamard-type inequalities to the fractional multiplicative framework of G-calculus. Using multiplicative Riemann–Liouville fractional integrals, we introduce a notion of multiplicative convexity and establish fractional Hermite–Hadamard, midpoint, and trapezoidal inequalities for GG-convex functions. Examples and graphical illustrations are provided to demonstrate the applicability of our results and further highlight the role of fractional multiplicative analysis in broadening traditional integral inequalities. Full article
(This article belongs to the Section C1: Difference and Differential Equations)
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