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A generalization of the arithmetic-geometric mean inequality and an application to finite sequences of zeros and ones

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Abstract

We generalize the arithmetic-geometric mean inequality to a new class of polynomials and give a combinatorial application.

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References

  1. C. Mac-Laurin,A second letter to Martin Folges, Esq., concerning the roots of equations with the demonstration of other rules in algebra, Philos. Trans.36 (1729), 59–96.

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  2. F. Hering,Nested bipartite graphs, Israel J. Math.9 (1971), 403–417.

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Authors and Affiliations

  1. University of Washington, Seattle, Washington

    Franz Hering

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  1. Franz Hering
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The work for this research was supported by the Max Kade Foundation.

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Hering, F. A generalization of the arithmetic-geometric mean inequality and an application to finite sequences of zeros and ones. Israel J. Math. 11, 14–30 (1972). https://doi.org/10.1007/BF02761445

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  • DOI: https://doi.org/10.1007/BF02761445

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