New hilbert dynamic inequalities on time scales
Saker, Samir H.
Ahmed, A. M.
Rezk, H. M.
Agarwal, Ravi P.
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Saker, Samir H. Ahmed, A. M.; Rezk, H. M.; 'Regan, Donal; Agarwal, Ravi P. (2017). New hilbert dynamic inequalities on time scales. Mathematical Inequalities & Applications 20 (4), 1017-1039
In this paper, we prove some new dynamic inequalities of Hilbert type on time scales. From these inequalities, as special cases, we will formulate some special integral and discrete inequalities. The main results are proved using some algebraic inequalities, Holder's inequality, Jensen's inequality and a chain rule on time scales.
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Saker, Samir H.; 'Regan, Donal; Agarwal, Ravi P. (Element d.o.o., 2015-01-01)In this paper, we will prove some new dynamic inequalities on a time scale T. These inequalities when T = N contain the discrete inequalities due to Bennett and Leindler which are converses of Copson's inequalities. The ...
Saker, SH; Agarwal, RP; O’Regan, D (Springer Nature, 2012-01-01)In this paper, for a fourth-order differential equation, we will establish some lower bounds for the distance between zeros of a nontrivial solution and also lower bounds for the distance between zeros of a solution and/or ...
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