Geodesic
Perron Integrability Versus Lebesgue Integrability
Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 463-468

Voir la notice de l'article provenant de la source Cambridge University Press

The paper investigates the relationship between Perron - Stieltjes integrability and Lebesgue-Stieltjes integrability within the generalized Riemann approach. The main result states that with certain restrictions a Perron-Stieltjes integrable function is locally Lebesgue-Stieltjes integrable on an open dense set. This is then applied to show that a nonnegative Perron-Stieltjes integrable function is Lebesgue-Stieltjes integrable. Finally, measure theory is invoked to remove the restrictions in the main result.
DOI : 10.4153/CMB-1985-055-1
Mots-clés : 26A39, 26A42 
Schurle, Arlo W. Perron Integrability Versus Lebesgue Integrability. Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 463-468. doi: 10.4153/CMB-1985-055-1
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