Analog of Dini-Riemann theorem for non-absolutely convergent integrals

Analog of Dini-Riemann theorem for non-absolutely convergent integrals

An analogue of classical Dini-Riemann theorem related to non-absolutely<br />convergent series of real number is proved for the Lebesgue improper integral.<br />

Bibliographic Details
Main Authors: Giuseppe Rao, Francesco Tulone
Format: Article
Language:English
Published: Università degli Studi di Catania 2007-12-01
Series:Le Matematiche
Subjects:
Dini-Riemann theorem
Lebesgue improper integral
non-absolute integral
measure preserving mapping
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/21
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spelling doaj-2f09166a7ea141b3b2515b764c92badd2020-11-25T03:18:55ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982007-12-0162112913419Analog of Dini-Riemann theorem for non-absolutely convergent integralsGiuseppe Rao0Francesco Tulone1University of PalermoUniversity of PalermoAn analogue of classical Dini-Riemann theorem related to non-absolutely<br />convergent series of real number is proved for the Lebesgue improper integral.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/21Dini-Riemann theoremLebesgue improper integralnon-absolute integralmeasure preserving mapping
collection DOAJ
language English
format Article
sources DOAJ
author Giuseppe Rao
Francesco Tulone
spellingShingle Giuseppe Rao
Francesco Tulone
Analog of Dini-Riemann theorem for non-absolutely convergent integrals
Le Matematiche
Dini-Riemann theorem
Lebesgue improper integral
non-absolute integral
measure preserving mapping
author_facet Giuseppe Rao
Francesco Tulone
author_sort Giuseppe Rao
title Analog of Dini-Riemann theorem for non-absolutely convergent integrals
title_short Analog of Dini-Riemann theorem for non-absolutely convergent integrals
title_full Analog of Dini-Riemann theorem for non-absolutely convergent integrals
title_fullStr Analog of Dini-Riemann theorem for non-absolutely convergent integrals
title_full_unstemmed Analog of Dini-Riemann theorem for non-absolutely convergent integrals
title_sort analog of dini-riemann theorem for non-absolutely convergent integrals
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2007-12-01
description An analogue of classical Dini-Riemann theorem related to non-absolutely<br />convergent series of real number is proved for the Lebesgue improper integral.<br />
topic Dini-Riemann theorem
Lebesgue improper integral
non-absolute integral
measure preserving mapping
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/21
work_keys_str_mv AT giusepperao analogofdiniriemanntheoremfornonabsolutelyconvergentintegrals
AT francescotulone analogofdiniriemanntheoremfornonabsolutelyconvergentintegrals
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