5 papers
A dichotomy result for strictly increasing bisymmetric maps
Pál Burai, Gergely Kiss, Patricia Szokol
In this paper we show some remarkable consequences of the method which proves that every bisymmetric, symmetric, reflexive, strictly monotonic binary map on a proper interval is co…
Characterization of quasi-arithmetic means without regularity condition
Pál Burai, Gergely Kiss, Patricia Szokol
In this paper we show that bisymmetry, which is an algebraic property, has a regularity improving feature. More precisely, we prove that every bisymmetric, partially strictly monot…
Random means generated by random variables: expectation and limit theorems
Matyas Barczy, Pál Burai
We introduce the notion of a random mean generated by a random variable and give a construction of its expected value. We derive some sufficient conditions under which strong laws…
Hermite--Hadamard type inequality for certain Schur convex functions
Pál Burai, Judit Makó, Patrícia Szokol
The main goal of this paper is to prove a Hermite-Hadamard type inequality for certain Schur convex functions using, as one of the main tools in the proof, a Korovkin-type approxim…
Limit theorems for Bajraktarević and Cauchy quotient means of independent identically distributed random variables
Matyas Barczy, Pál Burai
We derive strong laws of large numbers and central limit theorems for Bajraktarević, Gini and exponential- (also called Beta-type) and logarithmic Cauchy quotient means of independ…