11 papers
On the Jensen convex and Jensen concave envelopes of means
Zsolt Páles, Paweł Pasteczka
In recent papers the convexity of quasiarithmetic means was characterized under twice differentiability assumptions. One of the main goals of this paper is to show that the convexi…
Decision making via generalized Bajraktarević means
Zsolt Páles, Paweł Pasteczka
We define decision-making functions which arise from studying the multidimensional generalization of the weighted Bajraktarević means. It allows a nonlinear approach to optimizatio…
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.…