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math.FA2019
The logarithmic Cauchy quotient mean
Martin Himmel, Janusz Matkowski
Motivated by recent results on beta-type functions, a new family of means, which are of logarithmic Cauchy quotient type, are determined and characterized.
math.CA2019
Invariant means and iterates of mean-type mappings
Janusz Matkowski, Paweł Pasteczka
Classical result states that for two continuous and strict means ( is an interval) there exists a unique -invariant mean , i.…