Hardy–Leindler Type Inequalities on Time Scales
نویسنده
چکیده
In this paper, we will prove some new dynamic inequalities on a time scale T. These inequalities, as special cases, when T= R contain some integral inequalities and when T= N contain the discrete inequalities due to Leindler. The main results will be proved by using the Hölder inequality and a simple consequence of Keller’s chain rule on time scales. From our results, as applications, we will derive some new continuous and discrete Wirtinger type inequalities. The technique in this paper is completely different from the technique used by Leindler to prove his main results.
منابع مشابه
Dynamic Systems and Applications 24 (2015) 113-128 SOME NEW DYNAMIC INEQUALITIES ON DISCRETE TIME SCALES
ABSTRACT. In this paper we prove some new dynamic inequalities on discrete time scales. These new inequalities contain some generalizations of the discrete inequalities due to Hardy, Copson, Leindler and Walsh. The main results will be proved using a general algebraic inequality and Keller’s chain rule on time scales. AMS (MOS) Subject Classification. 26A15, 26D10, 26D15, 39A13, 34A40. 34N05.
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