Fractional Midpoint Inequalities for Co-ordinated (s_1,s_2)-Convex Functions: A New Perspective

Abstract

In this study, some Hermite--Hadamard type inequalities are investigated fordifferentiable co-ordinated (s_1,s_2)-convex functions inthe second sense. In particular, generalizations of midpoint-typeinequalities are established on rectangular domains in the plane.Additionally, several new inequalities are derived for the cases ofRiemann--Liouville and $k-$Riemann--Liouville fractional integrals byconsidering special cases of the main results.