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Inequalities Related to Pólya Matrices

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General Inequalities 4

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Abstract

A Pólya matrix P is a 0-1-matrix representing a certain differential system. By means of a minimum principle, this system induces the class of P-concave functions for which we derive a variety of integral inequalities. The proofs are based on the total positivity properties of the extended Green’s kernel of the underlying differential system.

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References

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Author information

Authors and Affiliations

  1. Institut für Mathematische Statistik, Westfälische Wilhelms-Universität Münster, D-4400, Münster, West Germany

    Achim Clausing

Authors
  1. Achim Clausing
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Editor information

Editors and Affiliations

  1. Mathematisches Institut I, Universität Karlsruhe, Kaiserstrasse 12, D-7500, Karlsruhe 1, Germany

    Wolfgang Walter

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© 1984 Springer Basel AG

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Clausing, A. (1984). Inequalities Related to Pólya Matrices. In: Walter, W. (eds) General Inequalities 4. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 71. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6259-2_29

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  • DOI: https://doi.org/10.1007/978-3-0348-6259-2_29

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6261-5

  • Online ISBN: 978-3-0348-6259-2

  • eBook Packages: Springer Book Archive

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