Two Crofton formulas in the three-dimensional space
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 58 (2024) no. 1, pp. 1-7.

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

In this article, two Crofton-type integral formulas in the three-dimensional Euclidean space are obtained using integral geometry methods.
Keywords: integral geometry, convex body, Crofton formula, visual angle
@article{UZERU_2024_58_1_a0,
     author = {R. H. Aramyan and E. R. Aramyan},
     title = {Two {Crofton} formulas in the three-dimensional space},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {1--7},
     publisher = {mathdoc},
     volume = {58},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2024_58_1_a0/}
}
TY  - JOUR
AU  - R. H. Aramyan
AU  - E. R. Aramyan
TI  - Two Crofton formulas in the three-dimensional space
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2024
SP  - 1
EP  - 7
VL  - 58
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2024_58_1_a0/
LA  - en
ID  - UZERU_2024_58_1_a0
ER  - 
%0 Journal Article
%A R. H. Aramyan
%A E. R. Aramyan
%T Two Crofton formulas in the three-dimensional space
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2024
%P 1-7
%V 58
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2024_58_1_a0/
%G en
%F UZERU_2024_58_1_a0
R. H. Aramyan; E. R. Aramyan. Two Crofton formulas in the three-dimensional space. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 58 (2024) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/UZERU_2024_58_1_a0/

[1] L. A. Santalo, Integral Geometry and Geometric Probability, AddisionWesley, Reading(MA), 2004 | MR | Zbl

[2] R. V. Ambartzumian, “Combinatorial integral geometry, metric and zonoids”, Acta Appl. Math., 9 (1987), 3–27 | DOI | MR | Zbl

[3] R. Aramyan, V. Mnatsakanyan, “Conditional Moments for a $d$-Dimensional Convex Body”, J. of Contemporary Mathematical Analysis (Armenian Acad. Sci.), 56 (2021), 3–9 | DOI | MR | Zbl