Bosch, PaulQuintana, YamiletRodríguez García, José ManuelSigarreta Almira, José María2022-11-232022-11-232022-09-06Bosch, Paul, et al. Jensen-type inequalities for m-convex functions. In: Open mathematics, 20(1), Sept. 2022, Pp. 946-9582391-5455https://hdl.handle.net/10016/36091Inequalities play an important role in pure and applied mathematics. In particular, Jensen's inequality, one of the most famous inequalities, plays a main role in the study of the existence and uniqueness of initial and boundary value problems for differential equations. In this work we prove some new Jensen-type inequalities for m-convex functions, and apply them to generalized Riemann-Liouville-type integral operators. Furthermore, as a remarkable consequence, some new inequalities for convex functions are obtained.13eng© 2022 Paul Bosch et al., published by De GruyterThis work is licensed under the Creative Commons Attribution 4.0 International LicenseAtribución 3.0 EspañaJensen-type inequalitiesConvex functionsM-convex functionsFractional derivatives and integralsFractional integral inequalitieresearch articleMatemáticashttps://doi.org/10.1515/math-2022-0061open access9461958Open mathematics20AR/0000030939