Converses of copson's inequalities on time scales
Saker, Samir H.
Agarwal, Ravi P.
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Saker, Samir H. 'Regan, Donal; Agarwal, Ravi P. (2015). Converses of copson's inequalities on time scales. Mathematical Inequalities & Applications 18 (1), 241-254
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 main results will be proved using the H &quot; older inequality and Keller's chain rule on time scales.
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Saker, Samir H.; Ahmed, A. M.; Rezk, H. M.; 'Regan, Donal; Agarwal, Ravi P. (Element d.o.o., 2017-01-01)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 ...
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 ...
AGARWAL, Ravi; BOHNER, Martin; O''REGAN, Donal; SAKER, Samir (The Scientific and Technological Research Council of Turkey, 2017-01-01)Recently, various forms and improvements of Opial dynamic inequalities have been given in the literature. In this paper, we give refinements of Opial inequalities on time scales that reduce in the continuous case to classical ...