MMN-4854
Hermite-Hadamard type inequalities for the right Riemann-Liouville fractional integrals with variable order
Wali Haider; Haibo Chen; Muhammad Aamir Ali; Asia Shehzadi; Hüseyin Budak;Abstract
In this paper, we prove significant results related to the Hermite-Hadamard inequality for convex functions in the framework of Riemann-Liouville fractional integrals with variable order. Two novel equalities are proved to have new fractional trapezoid and midpoint-type inequalities for the differentiable convex functions. This work provides a computational analysis of these inequalities, with numerical examples for convex functions. Additionally, it is demonstrated that the newly identified inequalities represent a generalisation of the comparable inequalities in the literature.
Vol. 26 (2025), No. 2, pp. 797-812