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In this paper, the author introduces the concept of the quasi-geometricallyconvex and defines a new identity for fractional integrals. By using of thisidentity, author obtains new estimates on generalization of Hadamard, Ostrowskiand Simpson type inequalities for GA-s-convex, quasi-geometrically convex and(s,m)-GA-convex functions via Riemann Liouville fractional integral.

New general integral inequalities for some GA-convex and quasi-geometrically convex functions via fractional integrals