Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6826(e) ISSN 0002-9939(p)

Peano path derivatives

Author(s): Hajrudin Fejzic; Dan Rinne
Journal: Proc. Amer. Math. Soc. 125 (1997), 2651-2656.
MSC (1991): Primary 26A24; Secondary 26A21
MathSciNet review: 1396976
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: In this paper we introduce Peano path derivatives as a natural extension of the notion of path derivatives. We give a sufficient condition on a system of paths to ensure the corresponding Peano path derivative is Baire 1. As consequences, we obtain that unilateral approximate and unilateral $I$ -approximate Peano derivatives are Baire one.

References:

1.: A. M. Bruckner, R. J. O'Malley and B. S. Thomson, Path Derivatives: A Unified View of Certain Generalized Derivatives, Trans. Amer Math. Soc. Vol. 283 1 (1984), 97-125. MR 86d:26007
2.: H. Fejzi\'{c}, The Peano Derivatives, Ph.D. Dissertation, Michigan State University (1992).
3.: E. Lazarow, On the Baire Class of ${\cal I}$ -approximate Derivatives, Proc. Amer. Math. Soc. Vol. 100 4 (1987), 669-674. MR 88h:26001
4.: W. Poreda, E. Wagner-Bojakowska, and W. Wilczy\'{n}ski, A Category Analogue of the Density Topology, Fund. Math. Vol. 128 (1985), 167-173. MR 87b:54034

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|