## Displaying similar documents to “Remarks on the concept of mean value”

### On the existence of means on solenoids.

Lobachevskii Journal of Mathematics

Similarity:

Acta Arithmetica

Similarity:

### On the mean values of an integral function of two complex variables

Annales Polonici Mathematici

Similarity:

### Mean p-valent functions with gaps

Colloquium Mathematicae

Similarity:

### Some inequalities with integral means.

General Mathematics

Similarity:

### The power mean and the logarithmic mean.

International Journal of Mathematics and Mathematical Sciences

Similarity:

### On the identric and logarithmic means.

Aequationes mathematicae

Similarity:

### Stability and stabilizability for means.

Applied Mathematics E-Notes [electronic only]

Similarity:

### A note on the convexity theorem for mean values of subtemperatures.

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

Similarity:

### Two sharp inequalities for power mean, geometric mean, and harmonic mean.

Journal of Inequalities and Applications [electronic only]

Similarity:

### Fixed points and iterations of mean-type mappings

Open Mathematics

Similarity:

Let (X, d) be a metric space and T: X → X a continuous map. If the sequence (T n)n∈ℕ of iterates of T is pointwise convergent in X, then for any x ∈ X, the limit ${\mu }_{T}\left(x\right)=\underset{n\to \infty }{lim}{T}^{n}\left(x\right)$ is a fixed point of T. The problem of determining the form of µT leads to the invariance equation µT ○ T = µT, which is difficult to solve in general if the set of fixed points of T is not a singleton. We consider this problem assuming that X = I p, where I is a real interval, p ≥ 2 a fixed positive integer and T is the mean-type...

### Some mean value theorems as consequences of the Darboux property

Mathematica Bohemica

Similarity:

The aim of the paper is to present some mean value theorems obtained as consequences of the intermediate value property. First, we will prove that any nonextremum value of a Darboux function can be represented as an arithmetic, geometric or harmonic mean of some different values of this function. Then, we will present some extensions of the Cauchy or Lagrange Theorem in classical or integral form. Also, we include similar results involving divided differences. The paper was motivated...

Aktuárské vědy

Similarity: