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most citedJung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants

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math.MG2025

A complete system of inequalities for the diameter, in-, and circumradius in the 3-dimensional Euclidean space

René Brandenberg, Bernardo González Merino, Mia Runge

We present a complete system of inequalities for the inradius, circumradius, and diameter in the -dimensional Euclidean space. To do so, we prove quasiconcavity of the inradius…