Young's integral inequality with upper and lower bounds
Classical Analysis and ODEs
2010-02-15 v1
Abstract
Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this new presentation. The corresponding results for difference equations are given, and several examples are included. We extend these results to piecewise-monotone functions as well.
Keywords
Cite
@article{arxiv.1002.2463,
title = {Young's integral inequality with upper and lower bounds},
author = {Douglas R. Anderson and Steven Noren and Brent Perreault},
journal= {arXiv preprint arXiv:1002.2463},
year = {2010}
}
Comments
8 pages