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Some New Dynamic Inequalities Involving Monotonic Functions on Time Scales

Journal of Function Spaces • 2019
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Publication Information
Authors S. H. Saker, E. Awwad and A. Saied
Keywords Not Available
Journal Journal of Function Spaces
Publisher Not Available
Volume 2019
Issue Not Available
Pages 11
publication.type Local
Paper Link Not Available
Supplementary Materials Not Available
Abstract
In this paper, we prove some new dynamic inequalities involving �− monotonic functions on time scales. Te main results will be
proved by employing H¨ older’s inequality, integration by parts, and a chain rule on time scales. As a special case when T = R, our
results contain the continuous inequalities proved by Heinig, Maligranda, Peˇ cari´c, Peri´ c, and Persson and when T = N, the results
to the best of the authors’ knowledge are essentially new.