Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 194-197
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V. V. Makeev. On one affine-invariant metric on the class of convex plane compacts. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 194-197. http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a13/
@article{ZNSL_1999_261_a13,
author = {V. V. Makeev},
title = {On one affine-invariant metric on the class of convex plane compacts},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {194--197},
year = {1999},
volume = {261},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a13/}
}
TY - JOUR
AU - V. V. Makeev
TI - On one affine-invariant metric on the class of convex plane compacts
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 194
EP - 197
VL - 261
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a13/
LA - ru
ID - ZNSL_1999_261_a13
ER -
%0 Journal Article
%A V. V. Makeev
%T On one affine-invariant metric on the class of convex plane compacts
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 194-197
%V 261
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a13/
%G ru
%F ZNSL_1999_261_a13
Theorem. For every plane convex compacts $K_1,K_2\subset\mathbb R^2$ there exist an affine transformations $T_1$, $T_2$ such that $T_1(K_1)\subset K_2\subset T_2(K_1)$ and $S(T_2(K_1))<111/16 S(T_1(K_1))$, where $S(K)$ means the square of a plane set $K\subset\mathbb R^2$.
