RUS  ENG
Full version
JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1978 Volume 42, Issue 5, Pages 972–988 (Mi im1887)
This article is cited in 1 paper

An integral estimate for deviations of sets in sections

G. Yu. Zaitsev


Abstract: Under certain natural assumptions it is proved that for two compact sets close in the Hausdorff metric the average distance between plane sections of them is also small.
Bibliography: 4 titles.

UDC: 517.51

MSC: 49F20

Received: 06.03.1978


 English version: Mathematics of the USSR-Izvestiya, 1979, 13:2, 261–276

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024