| Title: |
THE HKr-INTEGRAL IS NOT CONTAINED IN THE Pr-INTEGRAL |
| Authors: |
Musial P.; Skvortsov V.; Tulone F. |
| Contributors: |
Musial P.; Skvortsov V.; Tulone F. |
| Publisher Information: |
American Mathematical Society |
| Publication Year: |
2022 |
| Collection: |
IRIS Università degli Studi di Palermo |
| Subject Terms: |
Derivative in Lr; generalized absolute continuity; Henstock-Kurzweil-type integral; Perron-type integral; Settore MAT/05 - Analisi Matematica |
| 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. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/wos/WOS:000768891900024; volume:150; issue:5; firstpage:2107; lastpage:2114; numberofpages:8; journal:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY; http://hdl.handle.net/10447/545110 |
| DOI: |
10.1090/proc/15788 |
| Availability: |
http://hdl.handle.net/10447/545110; https://doi.org/10.1090/proc/15788 |
| Rights: |
info:eu-repo/semantics/openAccess |
| Accession Number: |
edsbas.561256FD |
| Database: |
BASE |