# ON the INTEGRAL FORMULAS of CROFTON and HURWITZ RELATIVE to the VISUAL ANGLE of A CONVEX SET

Research output: Contribution to journalArticleResearch

1 Citation (Scopus)

## Abstract

© 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.
Original language English 874-896 Mathematika 65 https://doi.org/10.1112/S0025579319000202 Published - 1 Jan 2019