Real Analysis Exchange

An Alternate Solution to Scottish Book 157

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

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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

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

First available in Project Euclid: 30 March 2017

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Scottish book 157 approximate derivate approximate continuity monotone


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.

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