Bonnesen-style symmetric mixed inequalities

DOI10.1186/s13660-016-1146-5zbMath1347.52003OpenAlexW2511191596WikidataQ59460840 ScholiaQ59460840MaRDI QIDQ313552

Miao Luo, Pengfu Wang, Jia-zu Zhou

Publication date: 12 September 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1146-5

zbMATH Keywords

isoperimetric inequalityBonnesen-style symmetric mixed inequalitysymmetric mixed isoperimetric deficitsymmetric mixed isoperimetric inequality

Mathematics Subject Classification ID

Convex sets in (2) dimensions (including convex curves) (52A10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items (1)

A sharp reverse Bonnesen-style inequality and generalization

Cites Work

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• Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature
• The log-Brunn-Minkowski inequality
• An isoperimetric deficit upper bound of the convex domain in a surface of constant curvature
• Isoperimetric inequalities for two-dimensional Riemannian manifolds with boundary
• A reverse isoperimetric inequality for convex plane curves
• Integral representations of quermass-integrals and Bonnesen-Style inequalities
• Isoperimetric inequalities for closed curves in spaces of constant curvature
• A generalization of the isoperimetric inequality in the hyperbolic plane
• Bonnesen-style inequalities and pseudo-perimeters for polygons
• On the isoperimetric inequality on a minimal surface
• Some Bonnesen-style inequalities for higher dimensions
• On containment measure and the mixed isoperimetric inequality
• A note on the reverse isoperimetric inequality
• Sharp isoperimetric inequalities and sphere theorems
• A generalization of the isoperimetric inequality
• Translative containment measure and symmetric mixed isohomothetic inequalities
• Die isoperimetrische Ungleichung im Raum
• A new reverse isoperimetric inequality and its stability
• SOME NEW BONNESEN-STYLE INEQUALITIES
• A refined reverse isoperimetric inequality in the plane
• Discrete Wirtinger and isoperimetric type inequalities
• Isoperimetric constants and the first eigenvalue of a compact riemannian manifold
• Bonnesen-Style Isoperimetric Inequalities
• The isoperimetric inequality
• The sharp Sobolev inequality and the Banchoff-Pohl inequality on surfaces
• The Isoperimetric Inequality for Nonsimple Closed Curves
• Isoperimetric Inequalities for Immersed Closed Spherical Curves
• A Generalization of the Isoperimetric Inequality on S 2 and Flat Tori in S 3
• Schur-convex functions and isoperimetric inequalities
• Isoperimetric Inequalities on Surfaces of Constant Curvature
• ON THE ISOPERIMETRIC DEFICIT UPPER LIMIT
• 平面两凸域的Bonnesen型对称混合不等式
• Bonnesen-Style Symmetric Mixed Isoperimetric Inequality
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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