Iterated Quasi-Arithmetic Mean-Type Mappings
Classical Analysis and ODEs
2016-05-10 v1
Abstract
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.
Cite
@article{arxiv.1412.2997,
title = {Iterated Quasi-Arithmetic Mean-Type Mappings},
author = {Paweł Pasteczka},
journal= {arXiv preprint arXiv:1412.2997},
year = {2016}
}
Comments
13 pages