An illustrative example for the Perron condition
Jacenty Kloch (1977)
Annales Polonici Mathematici
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Jacenty Kloch (1977)
Annales Polonici Mathematici
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Peter Walters (1975)
Publications mathématiques et informatique de Rennes
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Štefan Schwabik (1990)
Časopis pro pěstování matematiky
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Joo Bong Kim, Deok Ho Lee, Woo Youl Lee, Chun-Gil Park, Jae Myung Park (2004)
Czechoslovak Mathematical Journal
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In this paper, we study the s-Perron, sap-Perron and ap-McShane integrals. In particular, we show that the s-Perron integral is equivalent to the McShane integral and that the sap-Perron integral is equivalent to the ap-McShane integral.
Jaroslav Kurzweil, Jiři Jarník (1990)
Annales Polonici Mathematici
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Ludwig F. Elsner, Christopher R. Johnson, M. Neumann (1982)
Czechoslovak Mathematical Journal
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Jean Mawhin (2025)
Czechoslovak Mathematical Journal
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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.
Izobov, N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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