TY  - JOUR
AU  - Bosch, Paul
AU  - Moyado, Jorge A. Paz
AU  - Rodríguez-García, José M.
AU  - Sigarreta, José M.
PY  - 2025
TI  - Refinement of Jensen-type inequalities: fractional extensions (global and local)
JO  - AIMS Mathematics
SP  - 6574
EP  - 6588
VL  - 10
IS  - 3
AB  - In 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.
UR  - https://doi.org/10.3934/math.2025301
DO  - 10.3934/math.2025301