Abstract
In [HN] intricate separate proofs are given for certain properties of the arithmetic, the geometric, the harmonic and the quadratic mean values. We give here simpler elementary proofs of these properties for wide classes of means containing, for instance, all root-mean-powers.
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References
L. Hoehn and I. Niven, Averages on the move. Math. Mag. 58 (1985), 151–156.
G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities. Cambridge University Press, 1952.
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© 1987 Birkhäuser Verlag Basel
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Aczél, J., Losonczi, L., Páles, Z. (1987). The Behaviour of Comprehensive Classes of Means Under Equal Increments of Their Variables. In: Walter, W. (eds) General Inequalities 5. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik Série internationale d’Analyse numérique, vol 80. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7192-1_38
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DOI: https://doi.org/10.1007/978-3-0348-7192-1_38
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7194-5
Online ISBN: 978-3-0348-7192-1
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