3 papers
math.PR2026
Expected loss of quasi-arithmetic means of exchangeable random variables
Matyas Barczy, Zsolt Páles
The purpose of this paper is to establish certain relationships between the theories of means (aggregation functions) and loss functions. Namely, we derive sufficient conditions un…
math.CA2026
On subadditive quasi-arithmetic means
Zsolt Páles, PaweŠPasteczka
Let be a continuous and strictly monotone function. In the main result of this paper, we show that, for a fixed , the -variable mean…
math.CA2025
Hölder- and Minkowski-type inequalities for generalized quasi-arithmetic means
Zsolt Páles, PaweŠPasteczka
The purpose of this paper is to establish several necessary and sufficient conditions to ensure the validity of a general functional inequality in terms of generalized quasi-arithm…