TY - JOUR
T1 - ON the INTEGRAL FORMULAS of CROFTON and HURWITZ RELATIVE to the VISUAL ANGLE of A CONVEX SET
AU - Cufí, Julià
AU - Gallego, Eduardo
AU - Reventós, Agustí
PY - 2019/1/1
Y1 - 2019/1/1
N2 - © 2019 University College London. We provide a unified approach that encompasses some integral formulas for functions of the visual angle of a compact convex set due to Crofton, Hurwitz and Masotti. The basic tool is an integral formula that also allows us to integrate new functions of the visual angle. Also, we establish some upper and lower bounds for the considered integrals, generalizing, in particular, those obtained by Santaló for Masotti's integral.
AB - © 2019 University College London. We provide a unified approach that encompasses some integral formulas for functions of the visual angle of a compact convex set due to Crofton, Hurwitz and Masotti. The basic tool is an integral formula that also allows us to integrate new functions of the visual angle. Also, we establish some upper and lower bounds for the considered integrals, generalizing, in particular, those obtained by Santaló for Masotti's integral.
U2 - 10.1112/S0025579319000202
DO - 10.1112/S0025579319000202
M3 - Article
VL - 65
SP - 874
EP - 896
JO - Mathematika
JF - Mathematika
SN - 0025-5793
ER -