15 citations · 135 across the 49 of their papers we have counts for
5 papers · 1 filter
Online premeans and their computation complexity
Paweł Pasteczka
We extend some approach to a family of symmetric means (i.e. symmetric functions with ; is an i…
New bounds for the ratio of power means
Zsolt Páles, Paweł Pasteczka
We show that for real numbers with , and the related power means , , the inequality $$\frac{\mathscr{P}_p(x)}{\mathscr{P}_q(x)} \le \exp…
On Hardy type inequalities for weighted quasideviation means
Zsolt Páles, Paweł Pasteczka
Using recent results concerning the homogenization and the Hardy property of weighted means, we establish sharp Hardy constants for concave and monotone weighted quasideviation mea…
From the Ingham--Jessen property to mixed-mean inequalities
Jacek Chudziak, Zsolt Páles, Paweł Pasteczka
For every symmetric mean (where an interval) and a nonzero function , defi…
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.…