Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The Baire class of approximate symmetric derivates
HTML articles powered by AMS MathViewer

by Lee Larson PDF
Proc. Amer. Math. Soc. 87 (1983), 125-130 Request permission

Abstract:

It is shown that all approximate symmetric derivatives of measurable functions are in Baire class one. Further, if $f$ is a measurable function which is finite a.e., then its upper and lower approximate symmetric derivates are in Baire class three.
References
    C. Goffman, Real functions, Holt, New York, 1964.
  • N. K. Kundu, Symmetric derivatives and approximate symmetric derivatives of continuous functions, Rev. Roumaine Math. Pures Appl. 18 (1973), 689–697. MR 320241
    • L. Larson, The symmetric derivatives, Trans. Amer. Math Soc. (to appear).
  • David Preiss, Approximate derivatives and Baire classes, Czechoslovak Math. J. 21(96) (1971), 373–382. MR 286951
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26A24
  • Retrieve articles in all journals with MSC: 26A24
Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 87 (1983), 125-130
  • MSC: Primary 26A24
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0677247-2
  • MathSciNet review: 677247