6533b831fe1ef96bd12989ce

RESEARCH PRODUCT

THE HKr-INTEGRAL IS NOT CONTAINED IN THE Pr-INTEGRAL

Musial P.Skvortsov V.Tulone F.

subject

Settore MAT/05 - Analisi MatematicaHenstock-Kurzweil-type integralgeneralized absolute continuityDerivative in LrPerron-type integral

description

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.

yearjournalcountryeditionlanguage
2022-01-01
10.1090/proc/15788http://hdl.handle.net/10447/545110