Geodesic
Brunn--Minkowski type inequalities for conformal and Euclidean moments of domains
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2014), pp. 64-67

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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. 
@article{IVM_2014_5_a6,
     author = {F. G. Avkhadiev and B. S. Timergaliev},
     title = {Brunn--Minkowski type inequalities for conformal and {Euclidean} moments of domains},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--67},
     publisher = {mathdoc},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_5_a6/}
}
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F. G. Avkhadiev; B. S. Timergaliev. Brunn--Minkowski type inequalities for conformal and Euclidean moments of domains. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2014), pp. 64-67. http://geodesic.mathdoc.fr/item/IVM_2014_5_a6/