1 citations · 1 across the 10 of their papers we have counts for
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Jensen convex functions and doubly stochastic matrices
Matyas Barczy, Zsolt Páles
Given an nxn doubly stochastic matrix P satisfying an appropriate condition of linear algebraic-type, and a function f defined on a nonempty interval, we show that the validity of…
A convexity-type functional inequality with infinite convex combinations
Matyas Barczy, Zsolt Páles
Given a function defined on a nonempty and convex subset of the -dimensional Euclidean space, we prove that if is bounded from below and it satisfies a convexity-type fu…
Orderings on measures induced by higher-order monotone functions
Zsolt Páles, Tomasz Szostok
The main aim of this paper is to study the functional inequality \begin{equation*} \int_{[0,1]}f\bigl((1-t)x+ty\bigr)dμ(t)\geq 0, \qquad x,y\in I \mbox{ with } x<y, \end{equation*}…
Hermite-type interpolation in terms of exponential polynomials
Ali Hasan Ali, Zsolt Páles
Motivated by classical results of approximation theory, we define an Hermite-type interpolation in terms of -dimensional subspaces of the space of times continuously differe…
Equality and comparison of generalized quasiarithmetic means
Zsolt Páles, Paweł Pasteczka
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.…
On the equality of generalized Bajraktarević means under first-order differentiability assumptions
Zsolt Páles, Amr Zakaria
In this paper we consider the equality problem of generalized Bajraktarević means, i.e., we are going to solve the functional equation \begin{equation}\label{E0}\tag{*} f^{(-1)}\bi…
Comparison of Gini means with fixed number of variables
Richárd Grünwald, Zsolt Páles
In this paper, we consider the global comparison problem of Gini means with fixed number of variables on a subinterval of , i.e., the following inequality \begin{…