Abstract
Given a C r function F on [0,1], a C r function is found such that a convex combination of its first three iterates is equal to F. Such existence criterion is established by means of the Schauder fixed point theorem and careful a priori estimations.
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© 2000 Springer Science+Business Media Dordrecht
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Si, JG., Zhang, WN., Cheng, SS. (2000). Smooth Solutions of an Iterative Functional Equation. In: Functional Equations and Inequalities. Mathematics and Its Applications, vol 518. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4341-7_18
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DOI: https://doi.org/10.1007/978-94-011-4341-7_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5869-8
Online ISBN: 978-94-011-4341-7
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