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The Arithmetic, Geometric and Harmonic Means

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Means and Their Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 31))

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Abstract

Definition 1. If a = (a1,...,an) is a positive n-tple then the arithmetic mean of a is defined by:

$${A_n}(\underline a ) = \frac{{{a_1} + ... + {a_n}}}{n}$$
((1))

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© 1988 Springer Science+Business Media Dordrecht

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Bullen, P.S., Mitrinović, D.S., Vasić, P.M. (1988). The Arithmetic, Geometric and Harmonic Means. 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_2

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  • DOI: https://doi.org/10.1007/978-94-017-2226-1_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-2228-5

  • Online ISBN: 978-94-017-2226-1

  • eBook Packages: Springer Book Archive

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