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On approximate and Peano derivatives


Author: Clifford E. Weil
Journal: Proc. Amer. Math. Soc. 20 (1969), 487-490
MSC: Primary 26.40
DOI: https://doi.org/10.1090/S0002-9939-1969-0233944-7
MathSciNet review: 0233944
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References [Enhancements On Off] (What's this?)

  • [1] J. A. Clarkson, A property of derivatives, Bull. Amer. Math. Soc. 53 (1947), 124-125. MR 0019712 (8:451e)
  • [2] A Denjoy, Sur une propriété des fonctions dérivées, Enseignement Math. 18 (1916), 320-328.
  • [3] C. Goffman and C. J. Neugebauer, On approximate derivatives, Proc. Amer. Math. Soc. 11 (1960), 962-966. MR 0118792 (22:9562)
  • [4] S. Marcus, On a theorem of Denjoy and on approximate derivatives, Monatsh. Math. 66 (1962), 435-440. MR 0151558 (27:1543)
  • [5] H. W. Oliver, The exact Peano derivative, Trans. Amer. Math. Soc. 76 (1954), 444-456. MR 0062207 (15:944d)
  • [6] C. E. Weil, On properties of derivatives, Trans. Amer. Math. Soc. 114 (1965), 363-376. MR 0176007 (31:283)

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DOI: https://doi.org/10.1090/S0002-9939-1969-0233944-7
Article copyright: © Copyright 1969 American Mathematical Society

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