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Duality, volume product and Mahler's inequalities

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Publication:951761
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DOI10.1007/s00591-007-0018-yzbMath1155.52006OpenAlexW1996811951MaRDI QIDQ951761

B. E. Eshmatov

Publication date: 3 November 2008

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00591-007-0018-y


zbMATH Keywords

volume productMahler's inequalitypolar convex body


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)


Related Items (2)

Optimization of the anisotropic Cheeger constant with respect to the anisotropy ⋮ Stability of the reverse Blaschke-Santaló inequality for zonoids and applications



Cites Work

  • Une caractérisation volumique de certains espaces normés de dimension finie. (A volume characterization of some finite dimensional normed spaces)
  • N-dimensional area and content in Minkowski spaces
  • New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
  • Zonoids with Minimal Volume-Product--A New Proof
  • On the Perimeter and Area of the Unit Disc
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