We give a survey of results dealing with the problem of invariance of means which, for
means of two variables, is expressed by the equality K ∘\left (M, N\right)= KK∘ M, N= K. At …

Let I⊂ R be an open interval and p, q, r∈(0, 1). We find all continuous and strictly monotonic
functions α, β, γ: I→ R satisfying the functional equation λα (β− 1 (µβ (x)+(1− µ) β (y)))+(1− λ) …

Under the assumption of twice continuous differentiability of some of the functions involved
we determine all the weighted quasi-arithmetic means M, N, K such that K is (M, N)-invariant …

Lagrangian mean-type mappings for which the arithmetic mean is invariant Page 1 J. Math.
Anal. Appl. 309 (2005) 15–24 www.elsevier.com/locate/jmaa Lagrangian mean-type mappings …

In this paper we characterize generalized quasi-arithmetic means, that is means of the form
M (x 1,..., xn)≔(f 1+⋯+ fn)− 1 (f 1 (x 1)+…+ fn (xn)), where f 1,..., fn: I→ ℝ are strictly increasing …

Our aim is to solve the so-called invariance equation in the class of two-variable Gini means
{Gp, q: p, q∈ R}, ie, to find necessary and sufficient conditions on the 6 parameters a, b, c, d …

We solve the so-called invariance equation in the class of two-variable Stolarsky means {Sp,
q: p, q∈ R}, ie, we find necessary and sufficient conditions on the six parameters a, b, c, d, p …

It is known, that under some natural conditions, the iterates of any continuous mean-type
mapping converge to a continuous invariant mean-type mapping, and, moreover, the …

Invariance equation for generalized quasi-arithmetic means × Close The Infona portal uses
cookies, ie strings of text saved by a browser on the user's device. The portal can access …

Preserver Problems Related to Quasi-Arithmetic Means of Invertible Positive Operators
Page 1 Integr. Equ. Oper. Theory (2018) 90:7 https://doi.org/10.1007/s00020-018-2426-x …