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2016 Approximately Continuous Functions Have Approximate Extrema, a New Proof
Chris Freiling, Paul D. Humke, Richard J. O'Malley
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Real Anal. Exchange 41(2): 409-414 (2016).


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.


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Chris Freiling. Paul D. Humke. Richard J. O'Malley. "Approximately Continuous Functions Have Approximate Extrema, a New Proof." Real Anal. Exchange 41 (2) 409 - 414, 2016.


Published: 2016
First available in Project Euclid: 30 March 2017

zbMATH: 1384.26022
MathSciNet: MR3597330

Primary: 26A24
Secondary: 26A48

Keywords: approximate continuity , approximate maximum

Rights: Copyright © 2016 Michigan State University Press

Vol.41 • No. 2 • 2016
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