12 citations · 16 across the 6 of their papers we have counts for
6 papers · 1 filter
Regular solutions of a functional equation derived from the invariance problem of Matkowski means
Tibor Kiss
The main result of the present paper is about the solutions of the functional equation \Eq{*}{ F\Big(\frac{x+y}2\Big)+f_1(x)+f_2(y)=G(g_1(x)+g_2(y)),\qquad x,y\in I, } derived orig…
On the balancing property of Matkowski means
Tibor Kiss
Let be a nonempty open subinterval. We say that a two-variable mean enjoys the \emph{balancing property} if, for all , t…
On a functional equation related to two-variable Cauchy means
Tibor Kiss, Zsolt Páles
In this paper, we are dealing with the solution of the functional equation concerning the unknown functions and defined…
On a functional equation related to two-variable weighted quasi-arithmetic means
Tibor Kiss, Zsolt Páles
In this paper, we are going to describe the solutions of the functional equation concerning the unknown functions an…
Reducible means and reducible inequalities
Tibor Kiss, Zsolt Páles
It is well-known that if a real valued function acting on a convex set satisfies the -variable Jensen inequality, for some natural number , then, for all $k\in\{1,\dots…
Implications between generalized convexity properties of real functions
Tibor Kiss, Zsolt Páles
Motivated by the well-known implications among -convexity properties of real functions, analogous relations among the upper and lower -convexity properties of real functions…