Zobrazeno 1 - 10
of 345
pro vyhledávání: '"26e60"'
Autor:
Páles, Zsolt, Pasteczka, Paweł
The purpose of this paper is to extend the definition of quasiarithmetic means by taking a strictly monotone generating function instead of a strictly monotone and continuous one. We establish the properties of such means and compare them to the anal
Externí odkaz:
http://arxiv.org/abs/2412.07315
Autor:
Grünwald, Richárd, Páles, Zsolt
Publikováno v:
J. Math. Anal. Appl. 535(2) (2024), Paper No. 128214
The aim of this paper is to investigate inequalities that are analogous to the Minkowski and H\"older inequalities by replacing the addition and the multiplication by a more general operation, and instead of using power means, generalized Bajraktarev
Externí odkaz:
http://arxiv.org/abs/2412.05648
Autor:
Bakhtin, V. I., Tsarev, N. A.
In the paper we prove criteria for convexity and concavity of $f$-potentials ($f$-means, or Kolvogorov means), which particular cases are the arithmetic, geometric, harmonic means, the thermodynamic potential (exponential mean), and the $L^{p}$-norm.
Externí odkaz:
http://arxiv.org/abs/2411.07659
On the equality of generalized Bajraktarevi\'c means under first-order differentiability assumptions
Autor:
Páles, Zsolt, Zakaria, Amr
In this paper we consider the equality problem of generalized Bajraktarevi\'c means, i.e., we are going to solve the functional equation \begin{equation}\label{E0}\tag{*} f^{(-1)}\bigg(\frac{p_1(x_1)f(x_1)+\dots+p_n(x_n)f(x_n)}{p_1(x_1)+\dots+p_n(x_n
Externí odkaz:
http://arxiv.org/abs/2410.16074
Autor:
Barczy, Matyas, Páles, Zsolt
We give axiomatic characterisations of generalized $\psi$-estimators and (usual) $\psi$-estimators (also called $Z$-estimators), respectively. The key properties of estimators that come into play in the characterisation theorems are the symmetry, the
Externí odkaz:
http://arxiv.org/abs/2409.16240
Autor:
Grünwald, Richárd, Páles, Zsolt
In this paper, we consider the global comparison problem of Gini means with fixed number of variables on a subinterval $I$ of $\mathbb{R}_+$, i.e., the following inequality \begin{align}\tag{$\star$}\label{ggcabs} G_{r,s}^{[n]}(x_1,\dots,x_n) \leq G_
Externí odkaz:
http://arxiv.org/abs/2408.07658
This paper presents two new metrics on the Symmetric Positive Definite (SPD) manifold via the Cholesky manifold, i.e., the space of lower triangular matrices with positive diagonal elements. We first unveil that the existing popular Riemannian metric
Externí odkaz:
http://arxiv.org/abs/2407.02607
Autor:
Milton, Graeme W., Welters, Aaron
We provide a complete characterization of a subclass of means of positive operators in the class of symmetric Kubo-Ando means that was first introduced and studied in L. Moln\'ar, ``Characterizations of certain means of positive operators," Linear Al
Externí odkaz:
http://arxiv.org/abs/2405.20108
Autor:
Mihoković, Lenka, Raïssouli, Mustapha
We present analysis of some new means recently introduced by M. Ra\"{i}ssouli and A. Rezgui. We establish comparison relations and results on $(K,N)$-sub/super-stabilizability where $K$ and $N$ belong to the class of power means, denoted by $B_p$, an
Externí odkaz:
http://arxiv.org/abs/2405.13618
Autor:
Aliyev, Yagub
In the paper the maximum and the minimum of the ratio of the difference of the arithmetic mean and the geometric mean, and the difference of the power mean and the geometric mean of $n$ variables, is studied. A new optimization argument was used whic
Externí odkaz:
http://arxiv.org/abs/2405.11947