Peano path derivatives
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- by Hajrudin Fejzić and Dan Rinne PDF
- Proc. Amer. Math. Soc. 125 (1997), 2651-2656 Request permission
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
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Additional Information
- Hajrudin Fejzić
- Affiliation: Department of Mathematics, California State University, San Bernardino, California 92407
- Email: hfejzic@wiley.csusb.edu
- Dan Rinne
- Affiliation: Department of Mathematics, California State University, San Bernardino, California 92407
- Email: drinne@wiley.csusb.edu
- Received by editor(s): October 25, 1995
- Received by editor(s) in revised form: March 20, 1996
- Communicated by: J. Marshall Ash
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2651-2656
- MSC (1991): Primary 26A24; Secondary 26A21
- DOI: https://doi.org/10.1090/S0002-9939-97-03878-1
- MathSciNet review: 1396976