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math.CA2020★ 3 cited
Invariant means, complementary averages of means, and a characterization of the beta-type means
Janusz Matkowski, Paweł Pasteczka
We prove that whenever the selfmapping , ( and -s are -variable means on the interval ) is invariant with respect to…
math.CA2020★ 5 cited
Mean-type mappings and invariance principle
Janusz Matkowski, Paweł Pasteczka
In the finite dimensional case, mean-type mappings, their invariant means, relations between the uniqueness of invariant means and convergence of orbits of the mapping, are conside…