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

• 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
• ISSN: 0373-3505; 2037-5298

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 />