Korus, PeterValdes, Juan Eduardo Napoles2024-10-312024-10-312023-01-011547-1063https://doi.org/10.3934/mbe.2023882https://hdl.handle.net/11452/47229In this article, starting with an equation for weighted integrals, we obtained several extensions of the well-known Hermite-Hadamard inequality. We used generalized weighted integral operators, which contain the Riemann-Liouville and the k-Riemann-Liouville fractional integral operators. The functions for which the operators were considered satisfy various conditions such as the h-convexity, modified h-convexity and s-convexity.eninfo:eu-repo/semantics/closedAccessWeighted integral operatorsConvex functionsGeneral convex functionsHermite-hadamard inequalityScience & technologyLife sciences & biomedicineMathematical & computational biologyArticle0011008749000081992919940201110.3934/mbe.2023882