In the paper, the authors establish some integral inequalities of Hermite-Hadamard type for co-ordinated (α1,m1)-(α2,m2)convex functions on a rectangle of the first quadrant in a plane.

Abstract In this work, we introduce the notions about Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities co-ordinated convex by applying newly defined integrals. The results of present paper are extension several previously published results.

In this paper, firstly we give weighted Jensen inequality for interval valued functions. Then, by using inequality, establish Hermite-Hadamard type inclusions interval-valued Moreover, obtain some of co-ordinated convex These are generalizations results given in earlier works.