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An extension of the Foran integral


Author: Shu Sheng Fu
Journal: Proc. Amer. Math. Soc. 123 (1995), 403-404
MSC: Primary 26A39
DOI: https://doi.org/10.1090/S0002-9939-1995-1215200-9
MathSciNet review: 1215200
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Abstract | References | Similar Articles | Additional Information

Abstract: In this note, we shall introduce a new integral, AF integral, which includes the Foran integral and the Kubota integral.


References [Enhancements On Off] (What's this?)

  • [1] James Foran, An extension of the Denjoy integral, Proc. Amer. Math. Soc. 49 (1975), 359-365. MR 0367128 (51:3370)
  • [2] Y. Kubota, An integral of the Denjoy type. I, II, III, Proc. Japan Acad. 40 (1964), 713-717; 42 (1966), 737-742; 43 (1967), 441-444. MR 0178113 (31:2371)
  • [3] Richard J. O'Malley, A density property and applications, Trans. Amer. Math. Soc. 199 (1974), 74-87. MR 0360955 (50:13402)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1215200-9
Keywords: Foran integral, Kubota integral, O'Malley monotone theorem
Article copyright: © Copyright 1995 American Mathematical Society

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