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Algorithmic definition of means acting on positive numbers and operators

Miklos Palfia
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Abstract

Means are used in several applications from electronic engeneering to information theory, however there is no general theorem on how to extend a given M(x, y) mean function to multiple variable forms. In this article we would like to present a theorem, which gives one possible solution for this problem, for every M(x, y) mean function, acting on positive numbers and operators.

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Miklos Palfia. 2005-03-24. Algorithmic definition of means acting on positive numbers and operators. https://arxiv.org/abs/math/0503510

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