Paweł Pasteczka

activity

20212024

collaborators

8 papers

cs.SI2024

Mathematical model of information bubbles on networks

Pál Burai, Paweł Pasteczka

The main goal of this paper to introduce a new model of evolvement of narratives (common opinions, information bubble) on networks. Our main tools come from invariant mean theory a…

math.DS2024

Multivariable generalizations of bivariate means via invariance

Paweł Pasteczka

For a given $p$ -variable mean $M : I^{p} \to I$ ( $I$ is a subinterval of $R$ ), following (Horwitz, 2002) and (Lawson and Lim, 2008), we can define (under certain assump…

math.CA2024

Pexider invariance equation for embeddable mean-type mappings

Paweł Pasteczka

We prove that whenever $M_{1}, \dots, M_{n} : I^{k} \to I$ , ( $n, k \in N$ ) are symmetric, continuous means on the interval $I$ and $S_{1}, \dots, S_{m} : I^{k} \to I$ ( $m < n$ ) sati…

math.CA2023

Extension theorem for simultaneous q-difference equations and some its consequences

Witold Jarczyk, Paweł Pasteczka

Given a set $T \subset (0, + \infty)$ , intervals $I \subset (0, + \infty)$ and $J \subset R$ , as well as functions $g_{t} : I \times J \to J$ with $t$ 's running through the…

math.CA2023

On the invariance equation for means of generalized power growth

Paweł Pasteczka

We generalize the result of (Witkowski, 2014) which binds orders of homogeneous, symmetric means $M, N, K : R_{+}^{2} \to R_{+}$ of power growth that satisfy the inva…

math.CA2023

Estimating the Hardy constant of nonconcave homogenus quasideviation means

Zsolt Páles, Paweł Pasteczka

In this paper, we consider homogeneous quasideviation means generated by real functions (defined on $(0, \infty)$ ) which are concave around the point $1$ and possess certain upper e…