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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Infinite approximate Peano derivatives
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by Hajrudin Fejzić PDF
Proc. Amer. Math. Soc. 131 (2003), 2527-2536 Request permission

Abstract:

In this paper we introduce approximate Peano derivatives with infinite values allowed, and we show that these derivatives are Baire one, and possess the Darboux and Denjoy-Clarkson properties. Also we show that if they are bounded from above or below on an interval, then the corresponding ordinary derivatives exist and equal the approximate Peano derivatives.
References
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Additional Information
  • Hajrudin Fejzić
  • Affiliation: Department of Mathematics, California State University, San Bernardino, California 92407
  • Email: hfejzic@csusb.edu
  • Received by editor(s): January 5, 2001
  • Received by editor(s) in revised form: March 27, 2002
  • Published electronically: October 15, 2002
  • Communicated by: David Preiss
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 2527-2536
  • MSC (2000): Primary 26A24; Secondary 26A21
  • DOI: https://doi.org/10.1090/S0002-9939-02-06828-4
  • MathSciNet review: 1974651