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. In the present paper, a new class of generalized (r; g, s, m,φ)preinvex functions is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula involving products of two generalized (r; g, s, m, φ)-preinvex functions are given. Moreover, some generalizations of Hermite-Hadamard type inequalities to products of two generalized (r; g, s, m, φ)-preinvex functions via Riemann-Liouville fractional integrals are established. These general inequalities give us some new estimates for the left-hand side of GaussJacobi type quadrature formula and Hermite-Hadamard type fractional integral inequalities and also extend some results appeared in the literature (see [1]). Some conclusions and future research are also given.

SOME NEW HERMITE-HADAMARD TYPE FRACTIONAL INTEGRAL INEQUALITIES TO PRODUCTS OF TWO GENERALIZED (r; g, s,m,\phi)-PREINVEX FUNCTIONS