An HK$_r$-integrable function which is P$_s$-integrable for no $s$
Classical Analysis and ODEs
2024-08-05 v2
Abstract
Given arbitrary , we construct an HK-integrable function which is not P-integrable. This is an extension of Musial et al.\ construction published recently in [Musial, P., Skvortsov, V., Tulone, F.: The HK-integral is not contained in the P-integral. Proc. Amer. Math. Soc. {\bf150}(5), 2107--2114 (2022)].
Cite
@article{arxiv.2403.11733,
title = {An HK$_r$-integrable function which is P$_s$-integrable for no $s$},
author = {Piotr Sworowski},
journal= {arXiv preprint arXiv:2403.11733},
year = {2024}
}