Real Analysis Exchange

A continuous function not twice Peano differentiable on any perfect set

A. Olevskii and C. E. Weil

Full-text: Open access

Abstract

An example of a continuous function is given that is differentiable except on a countable set, but is not twice Peano differentiable on any nonempty, perfect set.

Article information

Source
Real Anal. Exchange, Volume 21, Number 2 (1995), 789-792.

Dates
First available in Project Euclid: 14 June 2012

Permanent link to this document
https://projecteuclid.org/euclid.rae/1339694112

Mathematical Reviews number (MathSciNet)
MR1407296

Zentralblatt MATH identifier
0879.26018

Subjects
Primary: 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15]

Keywords
Peano differentiation

Citation

Olevskii, A.; Weil, C. E. A continuous function not twice Peano differentiable on any perfect set. Real Anal. Exchange 21 (1995), no. 2, 789--792. https://projecteuclid.org/euclid.rae/1339694112


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