21 citations · 163 across the 30 of their papers we have counts for
4 papers · 1 filter
Characterization of the Hardy property of means and the best Hardy constants
Zsolt Páles, Paweł Pasteczka
The aim of this paper is to characterize in broad classes of means the so-called Hardy means, i.e., those means that sat…
A General Mean Value Theorem
Zsolt Páles
In this note a general a Cauchy-type mean value theorem for the ratio of functional determinants is offered. It generalizes Cauchy's and Taylor's mean value theorems as well as oth…
Implications between generalized convexity properties of real functions
Tibor Kiss, Zsolt Páles
Motivated by the well-known implications among -convexity properties of real functions, analogous relations among the upper and lower -convexity properties of real functions…
Characterization of generalized quasi-arithmetic means
Janusz Matkowski, Zsolt Páles
In this paper we characterize generalized quasi-arithmetic means, that is means of the form , where $f_1,...,f_n:I\to\mat…