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In Ref. 5, they found the right-sided integral inequalities of Fejér type concerning the product of an s-convex mapping and a symmetric function. In Ref. 6 some left-sided Fejér-Hermite-Hadamard type inequalities for preinvex mappings were also established. In recent years, many researchers have studied bounds for both Hermite-Hadamard and Fejér type inequalities via different classes of convex mappings; for generalizations, refinements, variations and new inequalities for them, see Refs. 7–19. Based on this literature and especially the idea in Refs. 5, 6, by discovering a weighted identity involving a symmetric mapping and a differentiable preinvex mapping defined on open invex subset, we

On new inequalities of Fejér-Hermite-Hadamard type for differentiable (α,m)-preinvex mappings