Iterated quasi-arithmetic mean-type mappings

Speaker(s)

Paweł Pasteczka

Affiliation

Uniwersytet Warszawski

Date

March 6, 2015, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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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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