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Brunn-Minkowski type inequalities for conformal and Euclidean moments of domains

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Publication:465111
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DOI10.3103/S1066369X14050077zbMath1301.26022OpenAlexW2107302508MaRDI QIDQ465111

B. S. Timergaliev, Farit G. Avkhadiev

Publication date: 31 October 2014

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14050077


zbMATH Keywords

distance functionBrunn-Minkowski inequalitieshyperbolic metric coefficient


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)


Related Items

Generalization of the Brunn-Minkowski inequality in the form of Hadwiger for power moments



Cites Work

  • Konkave Eikörperfunktionale und höhere Trägheitsmomente
  • Contributions to the theory of convex bodies
  • Dual Brunn-Minkowski inequality for volume differences
  • A refined Brunn-Minkowski inequality for convex sets
  • On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
  • Diffusion equations and geometric inequalities
  • Gaussian Brunn-Minkowski inequalities
  • Solution of the generalized Saint Venant problem
  • The Brunn-Minkowski inequality
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