Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions

Abstract

In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by using the newly defined integrals. The fundamental benefit of these inequalities is that these can be turned into classical H-H inequalities and Riemann-Liouville fractional H-H inequalities, and new kk-Riemann-Liouville fractional H-H inequalities can be obtained for co-ordinated convex IVFs without having to prove each one separately.

Keywords

• h-h inclusion
• ivfs
• fractional integral
• co-ordinated convex
• integral inclusions
• 26d10
• 26d15
• 26a51