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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… Click to show full abstract
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. As well we establish some upper and lower bounds for the considered integrals, generalizing in particular those obtained by Santal\'o for Masotti's integral.
Keywords:
visual angle;
integral formulas;
crofton hurwitz;
convex set
Journal Title: Mathematika
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematika
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!