The origin and developments of Kurzweil's generalized Riemann integral
The paper describes to origin and motivation of Kurzweil in introducing a Riemann-type definition for generalized Perron integrals and his further contributions to the topics.
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Jean Mawhin (2025)
Czechoslovak Mathematical Journal
The paper describes to origin and motivation of Kurzweil in introducing a Riemann-type definition for generalized Perron integrals and his further contributions to the topics.
Telma Caputti (1990)
Colloquium Mathematicae
Angeliki Kontolatou (1993)
Acta Mathematica et Informatica Universitatis Ostraviensis
Junxia Meng, Yuming Chu, Xiaomin Tang (2010)
Matematički Vesnik
Mariano Giaquinta, Enrico Giusti (1984)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Radu Ignat (2005)
Annales de l'I.H.P. Analyse non linéaire
Jan Boman (1990)
Mathematica Scandinavica
Christer Kieselman (1983)
Banach Center Publications
Jean-Marie Aubry (1999)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Fontenot, Robert A., Proschan, Frank (1985)
International Journal of Mathematics and Mathematical Sciences
Michael J. Evans, Paul D. Humke (2010)
Czechoslovak Mathematical Journal
Among the many characterizations of the class of Baire one, Darboux real-valued functions of one real variable, the 1907 characterization of Young and the 1997 characterization of Agronsky, Ceder, and Pearson are particularly intriguing in that they yield interesting classes of functions when interpreted in the two-variable setting. We examine the relationship between these two subclasses of the real-valued Baire one defined on the unit square.
He, Lan (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Dušan D. Adamović (1990)
Publications de l'Institut Mathématique
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