An extremum problem for the power moment of a convex polygon contained in a disc

DOI10.1515/advgeom-2021-0021zbMath1476.52007OpenAlexW3205276521MaRDI QIDQ2238266

Irmina Herburt, Shigehiro Sakata

Publication date: 1 November 2021

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2021-0021

zbMATH Keywords

convex polygonJensen's inequalityextremum problempower momentdual cross-sectional measure

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Inequalities and extremum problems in real or complex geometry (51M16)

Cites Work

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• Convex Bodies The Brunn-MinkowskiTheory
• Geometric Extremum Problems
• New Proof of a Minimum Property of the Regular n-GON

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