Bosch, PaulRodríguez-García, José M.Sigarreta, José M.2025-08-252025-08-252024Journal of Mathematical Inequalities Volume 18, Number 4 (2024), 1399–1413. doi:10.7153/jmi-2024-18-82https://hdl.handle.net/11447/10227Inequalities play a main role in pure and applied mathematics. In particular, Jensen inequality plays an important role in many fields of Mathematics. In this paper we prove two newJensen-type inequalities for harmonic convex functions via fractional calculus, and we apply them to generalized Caputo-type fractional integrals.15 p.enJensen-type inequalitiesHarmonic convex functionsFractional integral in equalitiesCaputo-type fractional integralsArticlehttps://doi.org/10.7153/jmi-2024-18-82