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7 papers · 2 filters
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 equality of two-variable general functional means
László Losonczi, Zsolt Páles, Amr Zakaria
Given two functions and a probability measure on the Borel subsets of , the two-variable mean is defined by $$ M_{f,g;μ}(x,y) :…
Convexity properties of functions defined on metric Abelian groups
Włodzimierz Fechner, Zsolt Páles
The notions of quasiconvexity, Wright convexity and convexity for functions defined on a metric Abelian group are introduced. Various characterizations of such functions, the struc…
On approximately monotone and approximately Hölder functions
Angshuman R. Goswami, Zsolt Páles
A real valued function defined on a real open interval is called -monotone if, for all with it satisfies where $Φ:[0,\el…
Characterization of the equality of Cauchy means to quasiarithmetic means
Rezső L. Lovas, Zsolt Páles, Amr Zakaria
The main result of this paper provides six necessary and sufficient conditions under various regularity assumptions for a so-called Cauchy mean to be identical to a two-variable qu…
On the equality of Bajraktarević means to quasi-arithmetic means
Zsolt Páles, Amr Zakaria
This paper offers a solution of the functional equation where is a fixed numbe…