SOME NEW BONNESEN-STYLE INEQUALITIES

DOI10.4134/JKMS.2011.48.2.421zbMath1213.52007MaRDI QIDQ3082890

Yunwei Xia, Chunna Zeng, Jia-zu Zhou

Publication date: 17 March 2011

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

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=402829

zbMATH Keywords

isoperimetric inequalityconvex domainkinematic formulaBonnesen-style inequalitycontainment measure

Mathematics Subject Classification ID

Integral geometry (53C65) Inequalities and extremum problems in real or complex geometry (51M16) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (12)

Bonnesen-style inequalities on surfaces of constant curvature ⋮ Bonnesen-style symmetric mixed inequalities ⋮ Reverse Bonnesen-style inequalities on surfaces of constant curvature ⋮ Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature ⋮ On Bonnesen-type inequalities for a surface of constant curvature ⋮ The Bonnesen isoperimetric inequality in a surface of constant curvature ⋮ An isoperimetric deficit upper bound of the convex domain in 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 ⋮ Inequalities for curvature integrals in Euclidean plane ⋮ On the Minimal Annulus of Triangles and Parallelograms

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