Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales
Classical Analysis and ODEs
2010-03-16 v1
Abstract
We prove a two dimensional Holder and reverse-Holder inequality on time scales via the diamond-alpha integral. Other integral inequalities are established as well, which have as corollaries some recent proved Hardy-type inequalities on time scales.
Keywords
Cite
@article{arxiv.0910.4115,
title = {Holder's and Hardy's Two Dimensional Diamond-alpha Inequalities on Time Scales},
author = {Moulay Rchid Sidi Ammi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0910.4115},
year = {2010}
}
Comments
Accepted for publication (October 21, 2009) in the journal "Annals of the University of Craiova, Mathematics and Computer Science Series" (http://inf.ucv.ro/~ami)