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

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Abstract

We prove Brunn-Minkowski type inequalities for three new functionals which are power moments for conformal and Euclidean characteristics of domains.

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    F. G. Avkhadiev & B. S. Timergaliev

Authors
  1. F. G. Avkhadiev
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  2. B. S. Timergaliev
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Corresponding author

Correspondence to F. G. Avkhadiev.

Additional information

Original Russian Text © F.G. Avkhadiev, B.S. Timergaliev, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 5, pp. 64–67.

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Avkhadiev, F.G., Timergaliev, B.S. Brunn-Minkowski type inequalities for conformal and Euclidean moments of domains. Russ Math. 58, 53–56 (2014). https://doi.org/10.3103/S1066369X14050077

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  • DOI: https://doi.org/10.3103/S1066369X14050077

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