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Hardy’s Type Integral Inequalities on Time Scales |
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PP: 2955-2962 |
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Author(s) |
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S. H. Saker,
Donal O’Regan,
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Abstract |
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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. |
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