15 citations · 135 across the 49 of their papers we have counts for
9 papers · 1 filter
Error recognition in the Cantor cube
Paweł Pasteczka
Based on the notion of thin sets introduced recently by T.~Banakh, Sz.~Głąb, E.~Jabłońska and J.~Swaczyna we deliver a study of the infinite single-message transmission protocols.…
On the and pointwise divergence of continuous functions
Karol Gryszka, Paweł Pasteczka
For a family of continuous functions ( is a fixed interval) with define a set $$ I_f:=\big\{x \in I \colon \lim_{n…
On the Jensen convex and Jensen concave envelopes of means
Zsolt Páles, Paweł Pasteczka
In recent papers the convexity of quasiarithmetic means was characterized under twice differentiability assumptions. One of the main goals of this paper is to show that the convexi…
Decision making via generalized Bajraktarević means
Zsolt Páles, Paweł Pasteczka
We define decision-making functions which arise from studying the multidimensional generalization of the weighted Bajraktarević means. It allows a nonlinear approach to optimizatio…
Invariant means, complementary averages of means, and a characterization of the beta-type means
Janusz Matkowski, Paweł Pasteczka
We prove that whenever the selfmapping , ( and -s are -variable means on the interval ) is invariant with respect to…
Mean-type mappings and invariance principle
Janusz Matkowski, Paweł Pasteczka
In the finite dimensional case, mean-type mappings, their invariant means, relations between the uniqueness of invariant means and convergence of orbits of the mapping, are conside…
Quasiarithmetic-type invariant means on probability space
Beata Deręgowska, Paweł Pasteczka
For a family of integral quasiarithmetic means sattisfying certain measurability-type assumptions we search for an integral mean such that $K\bi…
On the integral approach to means and their Hardy property
Paweł Pasteczka
The celebrated Hardy inequality can be written in the form $$\int_0^\infty \mathcal{P}_p \big(f|_{[0,x]}\big)dx \le (1-p)^{-1/p} \int_0^\infty f(x)\:dx \qquad \text{ for }p\in(0,1)…
On properties of weighted Hardy constant for means
Paweł Pasteczka
For a given weighted mean defined on a subinterval of and a sequence of weights we define a Hardy constant as th…