Some new Hermite-Hadamard type inequalities for product of strongly <i>h</i> -convex functions on ellipsoids and balls

Abstract We establish novel Hermite-Hadamard-type inequalities for the product of two strongly <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mi>h</m:mi> </m:math> h -convex functions defined on balls and ellipsoids in multidimensional Euclidean spaces. Additionally, we investigate mappings associated with these inequalities and explore their applications. Our results generalize several existing findings in the literature.