Applied Mathematics & Information Sciences

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In this paper, we prove some new integral inequalities of Hardy’s type on time scales. The Hardy inequalities have many applications especially in proving the boundedness Ces`aro operators. The main results will be proved by making use of some algebraic inequalities, the H¨older inequality and a simple consequence of Keller’s chain rule on time scales. The discrete inequalities that we will derive from our results in the discrete time scales are essentially new.