On the Henstock-Kurzweil Integral for Riesz-space-valued Functions on Time Scales
Classical Analysis and ODEs
2017-05-15 v1
Abstract
We introduce and investigate the Henstock-Kurzweil (HK) integral for Riesz-space-valued functions on time scales. Some basic properties of the HK delta integral for Riesz-space-valued functions are proved. Further, we prove uniform and monotone convergence theorems.
Keywords
Cite
@article{arxiv.1704.06808,
title = {On the Henstock-Kurzweil Integral for Riesz-space-valued Functions on Time Scales},
author = {Xuexiao You and Dafang Zhao and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1704.06808},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is with 'J. Nonlinear Sci. Appl.', ISSN 2008-1898 (Print) ISSN 2008-1901 (Online). Article Submitted 17-Jan-2017; Revised 17-Apr-2017; Accepted for publication 19-Apr-2017. See [http://www.tjnsa.com]