Generalized weighted Ostrowski and Ostrowski-Gr\"uss type inequalities on time scales via a parameter function
Classical Analysis and ODEs
2017-10-11 v1
Abstract
We prove generalized weighted Ostrowski and Ostrowski--Gr\"uss type inequalities on time scales via a parameter function. In particular, our result extends a result of Dragomir and Barnett. Furthermore, we apply our results to the continuous, discrete, and quantum cases, to obtain some interesting new inequalities.
Keywords
Cite
@article{arxiv.1706.09227,
title = {Generalized weighted Ostrowski and Ostrowski-Gr\"uss type inequalities on time scales via a parameter function},
author = {Seth Kermausuor and Eze R. Nwaeze and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1706.09227},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Journal of Mathematical Inequalities' (JMI), ISSN: 1846-579X (print), 1848-9575 (online), available at [http://jmi.ele-math.com]. Paper Submitted 23-Dec-2016; Revised 21-June-2017; Accepted 27-June-2017