### On the existence of means on solenoids.

Gumerov, R.N. (2005)

Lobachevskii Journal of Mathematics

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Gumerov, R.N. (2005)

Lobachevskii Journal of Mathematics

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E. Fogels (1972)

Acta Arithmetica

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Satya Narain Srivastava (1968)

Annales Polonici Mathematici

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W. K. Hayman (1967)

Colloquium Mathematicae

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Toader, Gheorghe, Raşa, Ioan (1996)

General Mathematics

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Imoru, Christopher Olutunde (1982)

International Journal of Mathematics and Mathematical Sciences

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J. Sándor (1990)

Aequationes mathematicae

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Raissouli, Mustapha (2011)

Applied Mathematics E-Notes [electronic only]

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Brzezina, Miroslav (1996)

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Chu, Yu-Ming, Xia, Wei-Feng (2009)

Journal of Inequalities and Applications [electronic only]

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Janusz Matkowski (2012)

Open Mathematics

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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...

Dan Ştefan Marinescu, Mihai Monea (2017)

Mathematica Bohemica

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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...

Jiřina Frantíková (1936)

Aktuárské vědy

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