Real Analysis Exchange

An Alternate Solution to Scottish Book 157

Chris Freiling, Paul D. Humke, and Richard~J. O'Malley

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Abstract

In 1971, D. Ornstein proved a theorem that completely solved Problem 157 of the Scottish Book. The purpose of this paper is to give an independent proof.

Article information

Source
Real Anal. Exchange, Volume 41, Number 2 (2016), 403-408.

Dates
First available in Project Euclid: 30 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.rae/1490839341

Mathematical Reviews number (MathSciNet)
MR3597329

Zentralblatt MATH identifier
1384.26032

Subjects
Primary: 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15]
Secondary: 26A48: Monotonic functions, generalizations

Keywords
Scottish book 157 approximate derivate approximate continuity monotone

Citation

Freiling, Chris; Humke, Paul D.; O'Malley, Richard~J. An Alternate Solution to Scottish Book 157. Real Anal. Exchange 41 (2016), no. 2, 403--408. https://projecteuclid.org/euclid.rae/1490839341


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