Bosch, PaulPaz Moyado, Jorge A.Rodríguez-García, José M.Sigarreta, José María2026-10-062026-10-062025Bosch P.; Paz Moyado J.A.; Rodríguez-García J.M.; Sigarreta J.M. (2025). Refinement of Jensen-type inequalities: fractional extensions (global and local). AIMS MathematicsVolume 10, Issue 3, Pages 6574 - 6588https://hdl.handle.net/11447/11228In this paper, our main objective was to establish new refinements of Jensen’s inequality. We focused on the class of convex and harmonic convex functions. In addition, we extended these results to the generalized Caputo-type fractional integral and the generalized local fractional derivative.15 p.enJensen’s inequalityFractional derivatives and integralsFractional integral inequalitiesArticlehttps://doi.org/10.3934/math.2025301