TY - JOUR
T1 - On The Integral Formulas Of Crofton And Hurwitz Relative To The Visual Angle Of A Convex Set
AU - Gallego Gomez, Eduardo
AU - Reventos Tarrida, Agusti
PY - 2019/1/1
Y1 - 2019/1/1
N2 - 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 - 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.
UR - http://www.mendeley.com/research/integral-formulas-crofton-hurwitz-relative-visual-angle-convex-set
U2 - 10.1112/S0025579319000202
DO - 10.1112/S0025579319000202
M3 - Article
VL - 65
SP - 874
EP - 896
JO - Mathematika
JF - Mathematika
SN - 0025-5793
IS - 4
ER -