4 papers
Cauchy--Schwarz-type inequalities for additive functions
Zsolt Páles, Mahmood Kamil Shihab
The main goal of this paper is to show that if a real valued function defined on a groupoid satisfies a certain Levi--Civita-type functional equation, then it also fulfills a Cauch…
Basic properties of generalized -estimators
Matyas Barczy, Zsolt Páles
We establish several properties of (weighted) generalized -estimators introduced by Barczy and Páles in 2022: mean-type, monotonicity and sensitivity properties, bisymmetry-type…
Comparison and equality of generalized -estimators
Matyas Barczy, Zsolt Páles
We solve the comparison problem for generalized -estimators introduced in Barczy and Páles (2022). Namely, we derive several necessary and sufficient conditions under which a ge…
Estimating the Hardy constant of nonconcave homogenus quasideviation means
Zsolt Páles, Paweł Pasteczka
In this paper, we consider homogeneous quasideviation means generated by real functions (defined on ) which are concave around the point and possess certain upper e…