Geodesic
Analogs of the P\'olya--Szeg\H{o} and Macai inequalities for the Euclidean moment of inertia of a convex domain
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 70-79

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

In this paper, we obtain two-sided estimates for the Euclidean moment of inertia $\mathrm{I}_{2}(G) $ of a convex domain $G$ on the plane in terms of geometric characteristics of this domain similar to the Pólya–Szegő and Makai inequalities for the torsional rigidity.
Keywords: torsional rigidity, Euclidean moment of a domian relative to the boundary, isoperimetric inequality, distance function, boundary of a domain
Mots-clés : convex domain. 
@article{INTO_2020_176_a6,
     author = {L. I. Gafiyatullina},
     title = {Analogs of the {P\'olya--Szeg\H{o}} and {Macai} inequalities for the {Euclidean} moment of inertia of a convex domain},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {70--79},
     publisher = {mathdoc},
     volume = {176},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_176_a6/}
}
TY  - JOUR
AU  - L. I. Gafiyatullina
TI  - Analogs of the P\'olya--Szeg\H{o} and Macai inequalities for the Euclidean moment of inertia of a convex domain
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2020
SP  - 70
EP  - 79
VL  - 176
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2020_176_a6/
LA  - ru
ID  - INTO_2020_176_a6
ER  - 
%0 Journal Article
%A L. I. Gafiyatullina
%T Analogs of the P\'olya--Szeg\H{o} and Macai inequalities for the Euclidean moment of inertia of a convex domain
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2020
%P 70-79
%V 176
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2020_176_a6/
%G ru
%F INTO_2020_176_a6
L. I. Gafiyatullina. Analogs of the P\'olya--Szeg\H{o} and Macai inequalities for the Euclidean moment of inertia of a convex domain. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 70-79. http://geodesic.mathdoc.fr/item/INTO_2020_176_a6/