15 citations · 135 across the 49 of their papers we have counts for
6 papers · 1 filter
Weakening of Hardy property for means
Paweł Pasteczka
The aim of this paper is to find a broad family of means defined on a subinterval of such that $$ \sum_{n=1}^\infty \mathscr{M}(a_1,\dots,a_n) <+\infty \qua…
On the homogenization of means
Zsolt Páles, Paweł Pasteczka
The aim of this paper is to introduce several notions of homogenization in various classes of weighted means, which include quasiarithmetic and semideviation means. In general, the…
On a lattice-like property of quasi-arithmetic means
Paweł Pasteczka
We will prove that in a family of quasi-arithmetic means sattisfying certain smoothness assumption (embed with a naural pointwise ordering) every finite family has both supremum an…
Invariant property for discontinuous mean-type mappings
Paweł Pasteczka
It is known that if are continuous two-variable means such that for every with , then there exists a unique invariant mean (which…
Jensen-type geometric shapes
Paweł Pasteczka
We present both necessary and sufficient conditions to the convex closed shape such that the inequality $$ \frac{1}{|X|} \int_X f(x)\:dx \le \frac{1}{|\partial X|} \int_{\parti…
On the quasi-arithmetic Gauss-type iteration
Paweł Pasteczka
For a sequence of continuous, monotone functions ( is an interval) we define the mapping as a Cartesian product of…