Iterated quasi-arithmetic mean-type mappings

Prelegent(ci)

Paweł Pasteczka

Afiliacja

Uniwersytet Warszawski

Termin

6 marca 2015 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

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For a family of quasi-arithmetic means satisfying certain smoothness condition we majorize the speed of convergence of the iterative sequence of self-mappings having a mean on each entry, described in the definition of Gaussian product, to relevant mean-type mapping. We apply this result to approximate any continuous function which is invariant with respect to such a self-mappings.

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