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Sets of Convergence for Series Defined by Iteration1
Published online by Cambridge University Press: 20 November 2018
Extract
Let f(x) be a real-valued function defined on an interval Ia: [ 0, a ]. For each point x in Ia we form the series , where u0 and un+1 = f(un) for n ≥ 0. If the series converges, x will be called a point of convergence; if this series diverges, x will be called a point of divergence. La this note several properties of sets of convergence2 will be obtained.
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- Research Article
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- Copyright © Canadian Mathematical Society 1966
Footnotes
This research was supported by NSFG 24295.
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