1 citations · 1 across the 8 of their papers we have counts for
8 papers
On convex and concave sequences and their applications
Gábor Marcell Molnár, Zsolt Páles
The aim of this paper is to introduce and to investigate the basic properties of -convex, -affine and -concave sequences and to establish their surprising connection to Ch…
A maximum theorem for generalized convex functions
Zsolt Páles
Motivated by the Maximum Theorem for convex functions (in the setting of linear spaces) and for subadditive functions (in the setting of Abelian semigroups), we establish a Maximum…
On the equality problem of two-variable Bajraktarević means under first-order differentiability assumptions
Zsolt Páles, Amr Zakaria
The equality problem of the two-variable Bajraktarević means can be expressed as the functional equation $$ \left(\frac{f}{g}\right)^{-1}\bigg(\frac{f(x)+f(y)}{g(x)+g(y)}\bigg) =\l…
Decomposition of higher-order Wright convex functions revisited
Zsolt Páles, Mahmood Kamil Shihab
In 2009, Maksa and Páles established an extension of the decomposition theorem of Ng in the context of higher-order convexity notions. They proved that a real function is Wright co…
Estimating the Hardy constant of nonconcave Gini means
Zsolt Páles, Paweł Pasteczka
The extension of the Hardy-Knopp-Carleman inequality to several classes of means was the subject of numerous papers. In the class of Gini means the Hardy property was characterized…
Local and global comparison of generalized Bajraktarević means
Richárd Grünwald, Zsolt Páles
The purpose of this paper is to investigate the local and global comparison of two -variable generalized Bajraktarević means, i.e., to establish necessary as well as sufficient…
Limit theorems for deviation means of independent and identically distributed random variables
Matyas Barczy, Zsolt Páles
We derive a strong law of large numbers, a central limit theorem, a law of the iterated logarithm and a large deviation theorem for so-called deviation means of independent and ide…
Hutchinson's Theorem in Semimetric Spaces
Mátyás Kocsis, Zsolt Páles
One of the important consequences of the Banach Fixed Point Theorem is Hutchinson's theorem which states the existence and uniqueness of fractals in complete metric spaces. The aim…