Borel measurability of extreme path derivatives

The derivative F’ of an differentiable function F is a function of Baire class one, since F’ is the pointwise limit of a sequence of continuous function {n(F(n+1/n)-F(x))}_{n=1}^{/infinity} . A problem that dates back to the beginning of this century is that of finding the Baire classification of various types of extreme derivatives.

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Work Title Borel measurability of extreme path derivatives
Access
Open Access
Creators
  1. Aliasghar Alikhani-Koopaei
License In Copyright (Rights Reserved)
Work Type Article
Publisher
  1. Real Analysis Exchange
Publication Date 1986
Publisher Identifier (DOI)
  1. https://doi.org/10.2307/44151791
Deposited April 05, 2024

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  • Added 1-Alikhani-1.pdf
  • Added Creator Aliasghar Alikhani-Koopaei
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    Publication Date
    • 2000-01-01
    • 1986-01-01
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  • Updated Publisher, Publication Date Show Changes
    Publisher
    • Real Anal. Exchange
    • Real Analysis Exchange
    Publication Date
    • 1986-01-01
    • 1986