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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2014 Number 5, Pages 64–67 (Mi ivm8896)
This article is cited in 3 papers

Brief communications

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

F. G. Avkhadiev, B. S. Timergaliev

Chair of Function Theory and Appoximations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420048 Russia

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

Keywords: Brunn–Minkowski inequalities, hyperbolic metric coefficient, distance function.

UDC: 517.5+517.956

Received: 04.12.2013


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2014, 58:5, 53–56

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