Some New Dynamic Inequalities Involving Monotonic Functions on Time Scales. (8th May 2019)

• Record Type: Journal Article
• Authors: Saker, S. H.; Awwad, E.; Saied, A.
• Other Names: Ólafsson Gestur Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2019(2019)
• Publication Date: 2019-05-08
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2019/7584836
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we prove some new dynamic inequalities involvingC - monotonic functions on time scales. The main results will be proved by employing Hölder's inequality, integration by parts, and a chain rule on time scales. As a special case whenT = R, our results contain the continuous inequalities proved by Heinig, Maligranda, Pečarić, Perić, and Persson and whenT = N, the results to the best of the authors' knowledge are essentially new.