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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive
Proceedings of the YSU, Physical and Mathematical Sciences, 2024 Volume 58, Issue 1, Pages 1–7 (Mi uzeru1087)
Mathematics

Two Crofton formulas in the three-dimensional space

R. H. Aramyana, E. R. Aramyanb

a Institute of Mathematics, National Academy of Sciences of Armenia, Yerevan
b Russian-Armenian University, Yerevan

Abstract: 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

MSC: Primary 53C45, 52A20; Secondary 53C65

Received: 12.12.2023
Revised: 15.03.2024
Accepted: 24.03.2024

Language: English

DOI: 10.46991/PYSU:A.2024.58.1.001


© Steklov Math. Inst. of RAS, 2024