Some Hermite-Jensen Like Inequalities for Convex Functions Through a Certain Generalized Fractional Integrals and Related Results

Akdemir, Ahmet OcakNasir, JamshedJarad, FahdButt, Saad Ihsan2023-01-122025-09-182023-01-122025-09-182020Butt, Saad Ihsan...et al. (2020). "SOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTS", MISKOLC MATHEMATICAL NOTES, Vol. 21, No. 2, pp. 689-715.1787-24051787-2413https://doi.org/10.18514/MMN.2020.3339https://hdl.handle.net/20.500.12416/12825Nasir, Jamshed/0000-0002-7141-4089In this article, in light of Jensen-Mercer inequality for functions whose derivatives in the absolute values are convex, some new Hermite-Jensen-Mercer inequalities have been obtained with the help of generalized types of fractional integral operators generated recently by specified local derivatives.eninfo:eu-repo/semantics/openAccessConvex FunctionsHermite-Hadamard InequalityJensen InequalityJensen-Mercer InequalityFractional IntegralsSome Hermite-Jensen Like Inequalities for Convex Functions Through a Certain Generalized Fractional Integrals and Related ResultsSOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTSArticle10.18514/MMN.2020.33392-s2.0-85099934176