12 citations · 42 across the 12 of their papers we have counts for
14 papers
Subcommutativity of integrals and quasi-arithmetic means
Dorota Glazowska, Paolo Leonetti, Janusz Matkowski +1
Let and be finite measure spaces for which there exist and with either and…
Means in money exchange operations
Jacek Bojarski, Janusz Matkowski
It is observed that in some money exchange operations, the applied -variable mean should be self reciprocally-conjugate, i.e. it should satisfy the equality \[ M\left( x_{1…
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…
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…
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.
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.…