Convergence of iterates of pre-mean-type mappings

Convergence of iterates of pre-mean-type mappings

Pre-mean in an interval I, being defined as a function M:I2 → I such that M(x,x) = x for x ∈ I,is an essential generalization of the mean. If M and N are pre-means, a map (M,N):I2 → I2 is called pre-mean-type mapping. The problem of converg...

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Bibliographic Details
Main Author: Matkowski Janusz
Format: Article
Language:English
Published: EDP Sciences 2014-11-01
Series:ESAIM: Proceedings and Surveys
Subjects:
mean
pre-mean
pre-mean-type mapping
invariant mean
invariant pre-mean
iterate
convergence
functional equation
Online Access:http://dx.doi.org/10.1051/proc/201446016

Internet

http://dx.doi.org/10.1051/proc/201446016

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