Hermite–Hadamard type inequalities via (h,m)-convexity
DOI:
https://doi.org/10.24193/subbmath.2026.1.03Keywords:
Hermite–Hadamard inequality, fractional integral, convex function, (h,m)-convex functionAbstract
In this paper, we establish a novel Hermite–Hadamard inequality for (h,m)-convex functions using Riemann–Liouville fractional integral operators, right and left. Furthermore, some new Hermite–Hadamard type fractional integral inequalities are proved for differentiable functions whose first derivative is (h,m)-convex. We demonstrate that these newly established integral inequalities generalize some existing results.
Mathematics Subject Classification (2010): 26A33, 26A51, 26D10, 26D15.
Received 21 May 2025; Accepted 31 December 2025.
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