Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Pasteczka, Paweł"'
Autor:
Pasteczka, Paweł
We define so-called residual means, which have a Taylor expansion of the form $M(x)=\bar x +\tfrac12 \xi_M(\bar x) \text{Var}(x)+o(\|x-\bar x\|^\alpha)$ for some $\alpha>2$ and a single-variable function $\xi_M$ ($\bar x$~stands for the arithmetic me
Externí odkaz:
http://arxiv.org/abs/2406.12491
Autor:
Burai, Pál, Pasteczka, Paweł
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 and graph theory. The case, when the root set of the network (influence
Externí odkaz:
http://arxiv.org/abs/2403.13875
Autor:
Pasteczka, Paweł
For a given $p$-variable mean $M \colon I^p \to I$ ($I$ is a subinterval of $\mathbb{R}$), following (Horwitz, 2002) and (Lawson and Lim, 2008), we can define (under certain assumption) its $(p+1)$-variable $\beta$-invariant extension as the unique s
Externí odkaz:
http://arxiv.org/abs/2402.04121
Autor:
Pasteczka, Paweł
We prove that whenever $M_1,\dots,M_n\colon I^k \to I$, ($n,k \in \mathbb{N}$) are symmetric, continuous means on the interval $I$ and $S_1,\dots,S_m\colon I^k \to I$ ($m
Externí odkaz:
http://arxiv.org/abs/2401.04466
Autor:
Jarczyk, Witold, Pasteczka, Paweł
Given a set $T \subset (0, +\infty)$, intervals $I\subset (0, +\infty)$ and $J\subset {\mathbb R}$, as well as functions $g_t:I\times J\rightarrow J$ with $t$'s running through the set \[ T^{\ast}:=T \cup \big\{t^{-1}\colon t \in T\big\}\cup\{1\} \]
Externí odkaz:
http://arxiv.org/abs/2311.09927
Autor:
Pasteczka, Paweł
We generalize the result of (Witkowski, 2014) which binds orders of homogeneous, symmetric means $M,N,K \colon\mathbb{R}_+^2 \to \mathbb{R}_+$ of power growth that satisfy the invariance equation $K(M(x,y),N(x,y))=K(x,y)$ to the broader class of mean
Externí odkaz:
http://arxiv.org/abs/2310.19399
Autor:
Páles, Zsolt, Pasteczka, Paweł
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 estimates near $0$ and $\infty$. It turns out that their concave envelo
Externí odkaz:
http://arxiv.org/abs/2307.11559
Autor:
Páles, Zsolt, Pasteczka, Paweł
Motivated by the characterization theorem about the Jensen convexity of quasiarithmetic means obtained by the authors in 2021, our main goal is to establish a characterization of the Jensen convexity of quasideviation as well as of Bajraktarevi\'c me
Externí odkaz:
http://arxiv.org/abs/2302.10061
Autor:
Pasteczka, Paweł
Publikováno v:
Results Math. 78, Art. No. 146 (2023)
e study the properties of the mean-type mappings ${\bf M}\colon I^p \to I^p$ of the form $${\bf M}(x_1,\dots,x_p):=\big(M_1(x_{\alpha_{1,1}},\dots,x_{\alpha_{1,d_1}}),\dots,M_p(x_{\alpha_{p,1}},\dots,x_{\alpha_{p,d_p}})\big),$$ where $p$ and $d_i$-s
Externí odkaz:
http://arxiv.org/abs/2207.05439
Autor:
Páles Zsolt, Pasteczka Paweł
Publikováno v:
Annales Mathematicae Silesianae, Vol 38, Iss 1, Pp 78-92 (2024)
In this paper, we consider homogeneous quasideviation means generated by real functions (defined on (0, ∞)) which are concave around the point 1 and possess certain upper estimates near 0 and ∞. It turns out that their concave envelopes can be co
Externí odkaz:
https://doaj.org/article/51db01d1afa2433d9398d191d0f837b8