Generalized Hardy,Copson, Leindler and Bennett inequalities on time scales |
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| Authors: | D O'Regan R Agarwal |
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| Affiliation: | 1. School of Mathematics, Statistics, and Applied Mathematics, National University of Ireland, Galway, Ireland;2. Department of Mathematics, Texas A&M University, Kingsville, Texas, USA |
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| Abstract: | In this paper, we prove some new dynamic inequalities on time scales using Hölder's inequality and Keller's chain rule on time scales. These inequalities, as special cases when the time scale  and when  , contain some generalizations of integral and discrete inequalities due to Hardy, Copson, Leindler and Bennett. |
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| Keywords: | Hardy inequality Copson inequality Leindler and Bennett inequalities time scales 26A15 26D10 26D15 39A13 34A40 34N05 |
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