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Browsing by Author "Saker, S. H."

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    Editorial
    Applications of Delay Differential Equations in Biological Systems
    (Wiley-hindawi, 2018) Rihan, F. A.; Tunc, C.; Saker, S. H.; Lakshmanan, S.; Rakkiyappan, R.
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    Article
    New Carlson-Bellman and Hardy-Littlewood Dynamic Inequalities
    (Element, 2018) Saker, S. H.; Tunc, C.; Mahmoud, R. R.
    In this paper, we will prove some new dynamic inequalities of Carlson and Hardy-Littlewood types on an arbitrary time scale T. These inequalities as special cases contain the classical continuous and discrete Carlson-Bellman and Hardy-Littlewood type inequalities. The results will be proved by employing the time scales Holder inequality, some algebraic inequalities and some basic lemmas designed and proved for this purpose.
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    Article
    New Generalizations of Nemethmohapatra Type Inequalities on Time Scales
    (Springer, 2017) Agarwal, R. P.; Mahmoud, R. R.; Saker, S. H.; Tunc, C.
    Some new dynamic inequalities on time scales are established, that reduce in the discrete and the continuous cases to classical inequalities named after Nemeth and Mohapatra, respectively. The new generalized inequalities resemble intensive classical inequalities known in the literature such as Beesack type inequalities, Copson type inequalities and Hardy-Littlewood type inequalities. The main results will be proved by employing the time scales Holder inequality and the time scales power rules for integrations that have been proved earlier.