29 citations · 121 across the 20 of their papers we have counts for
18 papers · 1 filter
Estimates of linear expressions through factorization
Ali Hasan Ali, Zsolt Páles
The aim of this paper is to establish various factorization results and then to derive estimates for linear functionals through the use of a generalized Taylor theorem. Additionall…
Local and global Hölder- and Minkowski-type inequalities for nonsymmetric generalized Bajraktarević means
Richárd Grünwald, Zsolt Páles
The aim of this paper is to investigate inequalities that are analogous to the Minkowski and Hölder inequalities by replacing the addition and the multiplication by a more general…
On the invariance of the arithmetic mean with respect to generalized Bajraktarević means
Richárd Grünwald, Zsolt Páles
The purpose of this paper is to investigate the following invariance equation involving two -variable generalized Bajraktarević means, i.e., we aim to solve the functional equat…
An elementary proof for the decomposition theorem of Wright convex functions
Zsolt Páles
The main goal of this paper is to give a completely elementary proof for the decomposition theorem of Wright convex functions which was discovered by C.\ T.\ Ng in 1987. In the pro…
On the homogenization of means
Zsolt Páles, Paweł Pasteczka
The aim of this paper is to introduce several notions of homogenization in various classes of weighted means, which include quasiarithmetic and semideviation means. In general, the…
On the invariance equation for two-variable weighted nonsymmetric Bajraktarević means
Zsolt Páles, Amr Zakaria
The purpose of this paper is to investigate the invariance of the arithmetic mean with respect to two weighted Bajraktarević means, i.e., to solve the functional equation $$ \bigg(…