Generalizations of Hermite-Hadamard type inequalities for MT-convex functions

In this paper, we discover two novel integral identities for twice differentiable functions. Under the utility of these identities, we establish some generalized inequalities for classical integrals and Riemann-Liouville fractional integrals of the Hermite-Hadamard type via functions whose derivatives absolute values are MT- convex. At the end, we present applications for special means and several error approximations for the trapezoidal formula.