A General Dynamic Inequality of Opial Type

Authors

Ravi Agarwal, Texas A&M University–Kingsville, Department of Mathematics, Kingsville, TX 78363, USAFollow
Martin Bohner, Missouri S&T, Department of Mathematics and Statistics, Rolla, MO 65409-0020, USAFollow
Donal O’Regan, National University of Ireland, School of Mathematics, Statistics, and Applied Mathematics, Galway, IrelandFollow
Mahmoud Osman, Mansoura University, Department of Mathematics, Faculty of Science, Mansoura, EgyptFollow
Samir Saker, Mansoura University, Department of Mathematics, Faculty of Science, Mansoura, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

We present a new general dynamic inequality of Opial type. This inequality is new even in both the continuous and discrete cases. The inequality is proved by making use of a recently introduced new technique for Opial dynamic inequalities, the time scales integration by parts formula, the time scales chain rule, and classical as well as time scales versions of H¨older’s inequality.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100306

Recommended Citation

Agarwal, Ravi; Bohner, Martin; O’Regan, Donal; Osman, Mahmoud; and Saker, Samir (2016) "A General Dynamic Inequality of Opial Type," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 6.
DOI: http://dx.doi.org/10.18576/amis/100306
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/6