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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 generaldoi:10.37560/matbil18100075k fatcat:4kvc7u7jh5a4fgt7ot3mqfoqty