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We establish some new inequalities of Hermite-Hadamard type for functionswhose fourth derivatives absolute values are quasi-convex. Further, we give newidentity.Using this new identity, we establish similar inequalities forleft-hand side of Hermite-Hadamard result.Also, we present applications tospecial means.

On new inequalities of Hermite-Hadamard type for functions whose fourth derivative absolute values are quasi-convex with applications