New generalized Riemann-Liouville fractional integral inequalities for convex functions
Pshtiwan Othman Mohammed
Abstract
In the literature, the right-side of Hermite-Hadamard's inequality is called trapezoid type inequality. In this paper, we obtain new integral inequalities of trapezoid type for convex functions involving generalized Riemann-Liouville fractional integrals ( -Riemann-Liouville fractional integrals). Our obtained inequalities generalize some recent classical integral inequalities and Riemann-Liouville fractional integral inequalities which are established in earlier works.
Topics & Concepts
MathematicsConvex functionRegular polygonPure mathematicsInequalityFractional calculusMathematical analysisGeometryMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsOptimization and Variational Analysis