Hermite-Hadamard Type Inequalities for Mtm-Preinvex Functions

In the present paper, the notion of MT m -preinvex function is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving MT m -preinvex functions along with beta function are given. Moreover, some generalizations of Hermite-Hadamard type inequalities for MT m -preinvex functions via classical integrals and Riemann-Liouville fractional integrals are established. At the end, some applications to special means are given. These results not only extend the results appeared in the literature (see [13]), but also provide new estimates on these types.