Riemann-Liouville Fractional Versions of Hadamard inequality for Strongly m-Convex Functions
Ghulam Farid, Saira Bano Akbar, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra
Abstract
This paper deals with Hadamard inequalities for strongly m-convex functions via Riemann-Liouville fractional integrals. These inequalities provide refinements of well known fractional integral inequalities for convex functions. Further, by applying an identity error estimations are obtained and compared with already known error estimations.
Topics & Concepts
MathematicsHadamard transformConvex functionHadamard three-lines theoremInequalityPure mathematicsRegular polygonIdentity (music)Mathematical analysisHadamard productGeometryAcousticsPhysicsMathematical Inequalities and Applications