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Physical Sciences and Mathematics Commons

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TÜBİTAK

Turkish Journal of Mathematics

2017

Time scales

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Full-Text Articles in Physical Sciences and Mathematics

Dynamic Shum Inequalities, Ravi Agarwal, Martin Bohner, Donal O'Regan, Samir Saker Jan 2017

Dynamic Shum Inequalities, Ravi Agarwal, Martin Bohner, Donal O'Regan, Samir Saker

Turkish Journal of Mathematics

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 inequalities named after Beesack and Shum. These refinements are new in the important discrete case.