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Displaying similar documents to “The rate of convergence of iterates of the Frobenius-Perron operator for piecewise monotonic transformations”

Some remarks on comparison functions

Antoni Augustynowicz (2009)

Annales Polonici Mathematici

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We answer some questions concerning Perron and Kamke comparison functions satisfying the Carathéodory condition. In particular, we show that a Perron function multiplied by a constant may not be a Perron function, and that not every comparison function is bounded by a comparison function with separated variables. Moreover, we investigate when a sum of Perron functions is a Perron function. We also present a criterion for comparison functions with separated variables.