Abstract & Overview
In the present paper, a new class of generalized (s, m, φ)-preinvex Godunova-Levin function of the second kind is introduced.Moreover, some left inequalities of Gauss-Jacobi type quadrature formula are given and some Hermite-Hadamard type inequalities for generalized (s, m, φ)-preinvex Godunova-Levin functions of the second kind via classical integrals are established.At the end, some applications to special means are given.