In the paper, the authors modify the definitions of ϕ_ (h-s) -convex functions and extended ϕ_ (h-s) -convex functions, establish two new integral identities, and, by virtue of these two integral identities, present several new integral inequalities of the Hermite-Hadamard type for extended ϕ_ (h-s) -convex functions.
Bo-Yan Xi (Wed,) studied this question.