Abstract
A series of problems in integer programming seems to be solvable by known — but for special sets of integers — improved inequalities. Considered are t-norms Mt(x,a) of x = (x.j,...,xn), where the xi are taken from the first N integers and not all xi equal. Multiplying Mt(x,a) by a suitable weight function ga(t) one gets inequalities which are better than in case x ∈ ℝ n+ Especially a refined harmonic-geometric-arithmetic means inequality is obtained.
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© 1979 Springer Basel AG
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Krafft, O., Mathar, R., Schaefer, M. (1979). A Refined Geometric-Arithmetic Means Inequality for Integers. In: Collatz, L., Meinardus, G., Wetterling, W. (eds) Numerische Methoden bei graphentheoretischen und kombinatorischen Problemen. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 46. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5997-4_14
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DOI: https://doi.org/10.1007/978-3-0348-5997-4_14
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1078-3
Online ISBN: 978-3-0348-5997-4
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