Some inequalities for interval-valued functions on time scales
Classical Analysis and ODEs
2019-07-05 v1
Abstract
We introduce the interval Darboux delta integral (shortly, the -integral) and the interval Riemann delta integral (shortly, the -integral) for interval-valued functions on time scales. Fundamental properties of and -integrals and examples are given. Finally, we prove Jensen's, H\"{o}lder's and Minkowski's inequalities for the -integral. Also, some examples are given to illustrate our theorems.
Keywords
Cite
@article{arxiv.1809.03709,
title = {Some inequalities for interval-valued functions on time scales},
author = {Dafang Zhao and Guoju Ye and Wei Liu and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1809.03709},
year = {2019}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Soft Computing', available from [https://link.springer.com/journal/500]. Submitted 20-Dec-2017; Revised 31-Aug-2018; Accepted 11-Sept-2018