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 JAMP  Vol.3 No.6 , June 2015
A Note on Discontinuous Functions with Continuous Second Iterate
Pingping Zhang1, Xiaobing Gong2
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Abstract: This paper investigates four classes of functions with a single discontinuous point. We give the sufficient and necessary conditions under which the second order iterates are continuous functions. Furthermore, the sufficient conditions for the continuity of the even order iterates with finitely many discontinuous points are obtained.
Keywords: Iteration, Discontinuous Point, Continuous Function
Cite this paper: Zhang, P. and Gong, X. (2015) A Note on Discontinuous Functions with Continuous Second Iterate. Journal of Applied Mathematics and Physics, 3, 691-696. doi: 10.4236/jamp.2015.36082.
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