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Discrete Wirtinger and isoperimetric type inequalities

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Publication:3971088
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DOI10.1017/S0004972700029312zbMath0751.26006MaRDI QIDQ3971088

Ding-Yi Tang

Publication date: 25 June 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

isoperimetric inequalitiesgeometric inequalitydiscrete version of Wirtinger inequalityplane polygonal curve


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Curves in Euclidean and related spaces (53A04) Inequalities involving derivatives and differential and integral operators (26D10)


Related Items (8)

Bonnesen-style symmetric mixed inequalities ⋮ Analytic and geometric isoperimetric inequalities ⋮ Bonnesen-style inequalities and pseudo-perimeters for polygons ⋮ On Bonnesen-type inequalities for a surface of constant curvature ⋮ A unified approach to higher order discrete and smooth isoperimetric inequalities ⋮ Some Bonnesen-style inequalities for higher dimensions ⋮ On containment measure and the mixed isoperimetric inequality ⋮ On discrete and continuous wirtinger inequalities



Cites Work

  • The isoperimetric inequality


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