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Some generalized Hermite–Hadamard–Fejér inequality for convex functions

Miguel José Vivas Cortez, Péter Kórus, Juan E. Nápoles Valdés

2021Advances in Difference Equations28 citationsDOIOpen Access PDF

Abstract

Abstract In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for generalized integrals. The results obtained are applied for fractional integrals of various type and therefore contain some previous results reported in the literature.

Topics & Concepts

MathematicsHermite polynomialsHadamard transformConvex functionType (biology)Pure mathematicsOrdinary differential equationInequalityMathematical analysisRegular polygonApplied mathematicsDifferential equationGeometryBiologyEcologyMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis
Some generalized Hermite–Hadamard–Fejér inequality for convex functions | Litcius