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


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.