SOME HERMITE-JENSEN-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTS

Butt, Saad IhsanAkdemir, Ahmet OcakNasir, JamshedJarad, Fahd2023-01-122023-01-122020Butt, 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. 689-715.1787-24051787-2413http://hdl.handle.net/20.500.12416/6044In 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-MERCER LIKE INEQUALITIES FOR CONVEX FUNCTIONS THROUGH A CERTAIN GENERALIZED FRACTIONAL INTEGRALS AND RELATED RESULTSSome Hermite-Jensen Like Inequalities for Convex Functions Through a Certain Generalized Fractional Integrals and Related ResultsArticle21268971510.18514/MMN.2020.3339