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Refined Convexity and Special Cases of the Blaschke-Santalo Inequality

Borwein, David and Borwein, Jonathan M. and Fee, Greg and Girgensohn, Roland (2001) Refined Convexity and Special Cases of the Blaschke-Santalo Inequality. Mathematical Inequalities and Applications, 4 . pp. 631-638.

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      Abstract

      We derive the $l_p$ version of the classical Blaschke-Santalo inequality for polar volumes as a consequence of more subtle convexity estimates for the volume of the $p-$ball in Euclidean space. We also give analogs for the $(p,q)$-substitution norms.

      Item Type: Article
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: Psi function, Gamma function, modified convexity, volume of p-balls, substitution norms, Blaschke-Santalo inequality
      Subjects: 26-xx Real functions > 26Bxx Functions of several variables
      33-xx Special functions > 33Bxx Elementary classical functions
      52-xx Convex and discrete geometry > 52Axx General convexity
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 28 Nov 2003
      Last Modified: 28 Sep 2014 14:39
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/222

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