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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Work supported by Istituto di Analisi Globale ed Applicazioni of C.N.R. Firenze.
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Campi, S. Isoperimetric deficit and convex plane sets of maximum translative discrepancy. Geom Dedicata 43, 71–81 (1992). https://doi.org/10.1007/BF00181298
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DOI: https://doi.org/10.1007/BF00181298