Dynamic Shum inequalities

Authors

RAVI AGARWAL
MARTIN BOHNER
DONAL O'REGAN
SAMIR SAKER

DOI

10.3906/mat-1511-42

Abstract

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.

Keywords

Opial's inequality, Beesack's inequality, Shum's inequality, time scales

First Page

55

Last Page

66

Recommended Citation

AGARWAL, RAVI; BOHNER, MARTIN; O'REGAN, DONAL; and SAKER, SAMIR (2017) "Dynamic Shum inequalities," Turkish Journal of Mathematics: Vol. 41: No. 1, Article 7. https://doi.org/10.3906/mat-1511-42
Available at: https://journals.tubitak.gov.tr/math/vol41/iss1/7