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Both inequalities hold in the reversed direction if f is concave. We note that Hadamards inequality may be regarde d s a refinement of the concept of convexity and it follows easily f rom Jensens inequality. Hadamards inequality for convex functions has received renewed attention in recent years an d a remarkable variety of refinements and generalizations have been found (see, for example, [ 2] [5],[11],[16],[18]) and the references cited therein.

Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions