15 citations · 56 across the 9 of their papers we have counts for
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On the equality of generalized Bajraktarević means under first-order differentiability assumptions
Zsolt Páles, Amr Zakaria
In this paper we consider the equality problem of generalized Bajraktarević means, i.e., we are going to solve the functional equation \begin{equation}\label{E0}\tag{*} f^{(-1)}\bi…
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 $$ \left(\frac{f}{g}\right)^{-1}\bigg(\frac{f(x)+f(y)}{g(x)+g(y)}\bigg) =\l…
Characterizations of the equality of two-variable generalized quasiarithmetic means
Zsolt Páles, Amr Zakaria
This paper is motivated by an astonishing result of H. Alzer and S. Ruscheweyh published in 2001 in the Proc. Amer. Math. Soc., which states that the intersection of the classes tw…
An extension of the Abel-Liouville identity
Zsolt Páles, Amr Zakaria
In this note, we present an extension of the celebrated Abel-Liouville identity in terms of noncommutative complete Bell polynomials for generalized Wronskians. We also characteriz…
On the equality of two-variable general functional means
László Losonczi, Zsolt Páles, Amr Zakaria
Given two functions and a probability measure on the Borel subsets of , the two-variable mean is defined by $$ M_{f,g;μ}(x,y) :…
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…
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(…
Equality and homogeneity of generalized integral means
Zsolt Páles, Amr Zakaria
Given two continuous functions such that is positive and is strictly monotone, a measurable space , a measurable family of -variable means…
On the local and global comparison of generalized Bajraktarević means
Zsolt Páles, Amr Zakaria
Given two continuous functions such that is positive and is strictly monotone, a measurable space , a measurable family of -variable means…