Geodesic
Improvements of the analogy isoperimetric inequality and the theorem of stability of its extremal solution
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 1 (2005) no. 2, pp. 182-191 
V. I. Diskant. Improvements of the analogy isoperimetric inequality and the theorem of stability of its extremal solution. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 1 (2005) no. 2, pp. 182-191. http://geodesic.mathdoc.fr/item/JMAG_2005_1_2_a2/
@article{JMAG_2005_1_2_a2,
     author = {V. I. Diskant},
     title = {Improvements of the analogy isoperimetric inequality and the theorem of stability of its extremal solution},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {182--191},
     year = {2005},
     volume = {1},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2005_1_2_a2/}
}
TY  - JOUR
AU  - V. I. Diskant
TI  - Improvements of the analogy isoperimetric inequality and the theorem of stability of its extremal solution
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2005
SP  - 182
EP  - 191
VL  - 1
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JMAG_2005_1_2_a2/
LA  - ru
ID  - JMAG_2005_1_2_a2
ER  - 
%0 Journal Article
%A V. I. Diskant
%T Improvements of the analogy isoperimetric inequality and the theorem of stability of its extremal solution
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2005
%P 182-191
%V 1
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2005_1_2_a2/
%G ru
%F JMAG_2005_1_2_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] K. Leichtweis, Convex sets, Nauka, Moscow, 1985 (Russian) | MR | Zbl

[2] H. Busemann, Convex surfaces, Nauka, Moscow, 1964 (Russian) | MR | Zbl

[3] H. Hadwiger, Lectures about volume, area surface and isoperimetry, Nauka, Moscow, 1966 (Russian) | MR | Zbl

[4] T. Bonnesen, W. Fenchel, Theory of convex bodies, Fazis, Moscow, 2002, 210 pp. (Russian)

[5] V. Diskant, “Refinements of the isoperimetric inequality and stability theorems in the theory of convex bodies”, Tr. Inst. Mat. Nauka, 14, Novosibirsk, 1989, 98–132 (Russian) | MR | Zbl

[6] A. Alexandrov, “New inequalities between mixed volumes and its applications”, Mat. sb., 2(44):6 (1937), 1205–1235 (Russian)

[7] V. Diskant, “About the behavior of isoperimetric difference when turning to parallel body and proving the generalized inequality of Hadwiger”, Mat. fiz., analiz, geom., 10 (2003), 40–48 (Russian) | MR | Zbl

[8] Ju. Burago, V. Zalgaller, Geometric Inequalities, Nauka, Leningrad, 1980 (Russian) | MR | Zbl