Abstract
Even the great generality of the means discussed in the previous two chapters does not cover all the definitions of the means that have been given. However with greater generality arises the question of just what is meant by a mean, and then an attempt to axiomatize the theory. This axiomatization leads away from the topic of this book into the theory of functional equations and functional inequalities. Such topics are very well covered elsewhere, see for instance Aczé l [9], and so axiomatics will only be discussed briefly.
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© 1988 Springer Science+Business Media Dordrecht
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Bullen, P.S., Mitrinović, D.S., Vasić, P.M. (1988). Further Means, Axiomatics and Other Topics. In: Means and Their Inequalities. Mathematics and Its Applications (East European Series) , vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2226-1_6
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DOI: https://doi.org/10.1007/978-94-017-2226-1_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-017-2228-5
Online ISBN: 978-94-017-2226-1
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