A descriptive definition of some multidimensional gauge integrals
Claude-Alain Faure (1995)
Czechoslovak Mathematical Journal
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Claude-Alain Faure (1995)
Czechoslovak Mathematical Journal
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Guoju Ye, Peng Yee Lee (2003)
Mathematica Bohemica
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We give a Riemann-type definition of the double Denjoy integral of Chelidze and Djvarsheishvili using the new concept of filtering.
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.