THE HKr-INTEGRAL IS NOT CONTAINED IN THE Pr-INTEGRAL
- Autori: Musial P.; Skvortsov V.; Tulone F.
- Anno di pubblicazione: 2022
- Tipologia: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/545110
Abstract
We compare a Perron-type integral with a Henstock-Kurzweiltype integral, both having been introduced to recover functions from their generalized derivatives defined in the metric Lr. We give an example of an HKr-integrable function which is not Pr-integrable, thereby showing that the first integral is strictly wider than the second one.