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math.MG2021
Extremizers and stability of the Betke--Weil inequality
Ferenc A. Bartha, Ferenc Bencs, Károly J. Böröczky +1
Let be a compact convex domain in the Euclidean plane. The mixed area of and can be bounded from above by , where is the perimete…
math.MG2020★ 5 cited
Central diagonal sections of the -cube
Ferenc Bartha, Ferenc Fodor, Bernardo González Merino
We prove that the volume of central hyperplane sections of a unit cube in orthogonal to a diameter of the cube is a strictly monotonically increasing function of the…