Abstract
A function \(f:\mathbb{R}\to \mathbb{R}\) is additive if \( f(x+y)=f(x)+f(y)\) for all real numbers \(x\) and \(y\). We give examples of an additive function whose graph is fractal.
Citation
Harvey Rosen. "An Earlier Fractal Graph." Real Anal. Exchange 43 (2) 451 - 454, 2018. https://doi.org/10.14321/realanalexch.43.2.0451
Information
Published: 2018
First available in Project Euclid: 27 June 2018
zbMATH: 06924901
MathSciNet: MR1922661
Digital Object Identifier: 10.14321/realanalexch.43.2.0451
Subjects:
Primary:
26A15
,
28A78
,
28A80
Keywords:
additive real function
,
fractal graph
Rights: Copyright © 2018 Michigan State University Press
