The paper deals with the following question: Among the convex plane sets of fixed isoperimetric deficit, which are the sets of maximum translative deviation from the circular shape? The answer is given for the cases in which the deviation is measured either by the translative Hausdorff metric or by the translative symmetric difference metric.
Campi, S. (1992). Isoperimetric deficit and convex plane sets of maximum translative discrepancy. GEOMETRIAE DEDICATA, 43(1), 71-81 [10.1007/BF00181298].
Isoperimetric deficit and convex plane sets of maximum translative discrepancy
CAMPI, STEFANO
1992-01-01
Abstract
The paper deals with the following question: Among the convex plane sets of fixed isoperimetric deficit, which are the sets of maximum translative deviation from the circular shape? The answer is given for the cases in which the deviation is measured either by the translative Hausdorff metric or by the translative symmetric difference metric.
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https://hdl.handle.net/11365/11824
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