15 citations · 135 across the 49 of their papers we have counts for
4 papers · 1 filter
On negative results concerning weak-Hardy means
Paweł Pasteczka
We establish the test which allows to show that a mean does not admit a weak-Hardy property. As a result we prove that Hardy and weak-Hardy properties are equivalent in the class o…
Estimating the Hardy constant of nonconcave Gini means
Zsolt Páles, Paweł Pasteczka
The extension of the Hardy-Knopp-Carleman inequality to several classes of means was the subject of numerous papers. In the class of Gini means the Hardy property was characterized…
There is at most one continuous invariant mean
Paweł Pasteczka
We show that, for a (not necessarily continuous) weakly contractive mean-type mapping (where is an interval and ), the function…
On the Hardy property of mixed means
Paweł Pasteczka
Hardy property of means has been extensively studied by Páles and Pasteczka since 2016. The core of this research is based on few of their properties: concavity, symmetry, monotoni…