Zobrazeno 1 - 10
of 224
pro vyhledávání: '"Pales, Zsolt"'
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:
Ali, Ali Hasan, Páles, Zsolt
Motivated by classical results of approximation theory, we define an Hermite-type interpolation in terms of $n$-dimensional subspaces of the space of $n$ times continuously differentiable functions. In the main result of this paper, we establish an e
Externí odkaz:
http://arxiv.org/abs/2412.07925
Autor:
Ali, Ali Hasan, Páles, Zsolt
Publikováno v:
J. Approx. Theory 299 (2024), Paper No. 106019
The aim of this paper is to establish various factorization results and then to derive estimates for linear functionals through the use of a generalized Taylor theorem. Additionally, several error bounds are established including applications to the
Externí odkaz:
http://arxiv.org/abs/2412.05652
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:
Molnár, Gábor Marcell, Páles, Zsolt
Publikováno v:
Acta Math. Hungar. 2025
In this paper functions $f:D\to\mathbb{R}$ satisfying the inequality \[ f\Big(\frac{x+y}{2}\Big)\leq\frac12f(x)+\frac12f(y) +\varphi\Big(\frac{x-y}{2}\Big) \qquad(x,y\in D) \] are studied, where $D$ is a nonempty convex subset of a real linear space
Externí odkaz:
http://arxiv.org/abs/2412.05645
Autor:
Barczy, Matyas, Páles, Zsolt
We investigate the monotone representation and measurability of generalized $\psi$-estimators introduced by the authors in 2022. Our first main result, applying the unique existence of a generalized $\psi$-estimator, allows us to construct this estim
Externí odkaz:
http://arxiv.org/abs/2412.02783
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
Autor:
Barczy, Matyas, Páles, Zsolt
We prove that the values of a generalized $\psi$-estimator (introduced by Barczy and P\'ales in 2022) on samples of arbitrary length but having only two different observations uniquely determine the values of the estimator on any sample of arbitrary
Externí odkaz:
http://arxiv.org/abs/2402.10817