Extension of Hermite-Hadamard Inequality Type with k-fractional Companions of Riemann-Liouville Integrals
M. A. Anise
Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
K. Rauf *
Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The previous research on Hermite-Hadamard inequalities focused on classical h-convex, s-convex and coordinated convex function within the usual linear setting. However, little research has been established on flexible convexity classes that depend on a generating function. As a result, important non-linear behaviours and generalized mid-point forms were left unexplored. This present study deals with the derivation of some new companions of Riemann-Liouville k-fractional integrals type by means of generalized convex functions, through relative semi-convex, relative h-convex and relative g-convex functions.
Keywords: Riemann-Liouville, hermite-hadamard, k-fractional integral, convex function