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Higher order alternating sequences

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Abstract

Sequences which are alternating of a (finite) higher order n, appropriately normalized, are shown to form a Bauer simplex, and its countably many extreme points are identified. For \(\, n = 2 \,\) we are dealing with increasing concave sequences. The proof makes use of multivariate co-survival functions of (not necessarily finite) Radon measures.

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References

  1. Berg, C., Christensen, J.P.R., Ressel, P.: Harmonic Analysis on Semigroups. Springer, Berlin (1984)

    Book  MATH  Google Scholar 

  2. Choquet, G.: Theory of capacities. Ann. Inst. Fourier 5, 131–295 (1954)

    Article  MathSciNet  MATH  Google Scholar 

  3. Ressel, P.: Higher order monotonic (multi)-sequences and their extreme points. Positivity 17, 333–340 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  4. Ressel, P.: Homogeneous distributions—and a spectral representation of classical mean values and stable tail dependence functions. J. Multivar. Anal. 117, 246–256 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ressel, P.: The Hornich–Hlawka inequality and Bernstein functions. J. Math. Inequal. 9, 883–888 (2015)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Math.-Geogr. Fakultät, Kath. Univ. Eichstätt-Ingolstadt, 85071, Eichstätt, Germany

    Paul Ressel

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  1. Paul Ressel
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Correspondence to Paul Ressel.

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Ressel, P. Higher order alternating sequences. Positivity 22, 17–25 (2018). https://doi.org/10.1007/s11117-017-0493-x

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  • DOI: https://doi.org/10.1007/s11117-017-0493-x

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