On The Integral Formulas Of Crofton And Hurwitz Relative To The Visual Angle Of A Convex Set

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Resum

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.
Idioma originalEnglish
Pàgines (de-a)874-896
Nombre de pàgines23
RevistaMathematika
Volum65
Número4
DOIs
Estat de la publicacióPublicada - 1 de gen. 2019

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