On New Fractional Version of Generalized Hermite-Hadamard Inequalities
Abd‐Allah Hyder, Areej A. Almoneef, Hüseyin Budak, Mohamed A. Barakat
Abstract
In this study, we establish a novel version of Hermite-Hadamard inequalities through neoteric generalized Riemann-Liouville fractional integrals (RLFIs). For functions with the convex absolute values of derivatives, we create a variety of midpoint and trapezoid form inequalities, including the generalized RLFIs. Moreover, multiple fractional inequalities can be produced as special cases of the findings of this study.
Topics & Concepts
MathematicsMidpointHermite polynomialsHadamard transformConvex functionPure mathematicsVariety (cybernetics)InequalityRegular polygonApplied mathematicsMathematical analysisAlgebra over a fieldStatisticsGeometryMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis