21 citations · 163 across the 30 of their papers we have counts for
9 papers · 1 filter
On the equality of two-variable general functional means
László Losonczi, Zsolt Páles, Amr Zakaria
Given two functions and a probability measure on the Borel subsets of , the two-variable mean is defined by $$ M_{f,g;μ}(x,y) :…
Convexity properties of functions defined on metric Abelian groups
Włodzimierz Fechner, Zsolt Páles
The notions of quasiconvexity, Wright convexity and convexity for functions defined on a metric Abelian group are introduced. Various characterizations of such functions, the struc…
New bounds for the ratio of power means
Zsolt Páles, Paweł Pasteczka
We show that for real numbers with , and the related power means , , the inequality $$\frac{\mathscr{P}_p(x)}{\mathscr{P}_q(x)} \le \exp…
On Hardy type inequalities for weighted quasideviation means
Zsolt Páles, Paweł Pasteczka
Using recent results concerning the homogenization and the Hardy property of weighted means, we establish sharp Hardy constants for concave and monotone weighted quasideviation mea…
From the Ingham--Jessen property to mixed-mean inequalities
Jacek Chudziak, Zsolt Páles, Paweł Pasteczka
For every symmetric mean (where an interval) and a nonzero function , defi…
On approximately monotone and approximately Hölder functions
Angshuman R. Goswami, Zsolt Páles
A real valued function defined on a real open interval is called -monotone if, for all with it satisfies where $Φ:[0,\el…
Characterization of the equality of Cauchy means to quasiarithmetic means
Rezső L. Lovas, Zsolt Páles, Amr Zakaria
The main result of this paper provides six necessary and sufficient conditions under various regularity assumptions for a so-called Cauchy mean to be identical to a two-variable qu…
On the equality of Bajraktarević means to quasi-arithmetic means
Zsolt Páles, Amr Zakaria
This paper offers a solution of the functional equation where is a fixed numbe…
On the equality problem of generalized Bajraktarević means
Richárd Grünwald, Zsolt Páles
The purpose of this paper is to investigate the equality problem of generalized Bajraktarević means, i.e., to solve the functional equation \begin{equation}\label{E0}\tag{*} f^{(-1…