Real Analysis Exchange
- Real Anal. Exchange
- Volume 41, Number 2 (2016), 409-414.
Approximately Continuous Functions Have Approximate Extrema, a New Proof
In 1975, Richard O’Malley proved that every approximately continuous function has approximate extrema, and this result provides an immediate solution to SB 157. The purpose of this paper is to provide an additional proof of O’Malley's result.
Real Anal. Exchange, Volume 41, Number 2 (2016), 409-414.
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
Freiling, Chris; Humke, Paul D.; O'Malley, Richard J. Approximately Continuous Functions Have Approximate Extrema, a New Proof. Real Anal. Exchange 41 (2016), no. 2, 409--414. https://projecteuclid.org/euclid.rae/1490839342