A sharp reverse Bonnesen-style inequality and generalization
DOI10.1186/s13660-019-2043-5zbMath1499.52017OpenAlexW2944497165WikidataQ128127906 ScholiaQ128127906MaRDI QIDQ2067810
Publication date: 19 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-019-2043-5
isoperimetric inequalityconvex domainisoperimetric deficitsymmetric mixed isoperimetric deficitreverse Bonnesen-style inequalityreverse Bonnesen-style symmetric mixed inequality
Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10) Differential geometric aspects in kinematics (53A17) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some Bonnesen-style Minkowski inequalities
- Bonnesen-style symmetric mixed inequalities
- Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature
- Dual Orlicz-Brunn-Minkowski theory
- \(L_p\) mixed geominimal surface area
- An isoperimetric deficit upper bound of the convex domain in a surface of constant curvature
- A note on Hurwitz's inequality
- The Bonnesen isoperimetric inequality in a surface of constant curvature
- On containment measure and the mixed isoperimetric inequality
- An integral formula for the total mean curvature matrix
- A generalization of the isoperimetric inequality
- Translative containment measure and symmetric mixed isohomothetic inequalities
- Inequalities with curvature and their stability estimates for convex curves
- A new reverse isoperimetric inequality and its stability
- On Bonnesen-type inequalities for a surface of constant curvature
- A refined reverse isoperimetric inequality in the plane
- 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
- Schur-convex functions and isoperimetric inequalities
- 平面两凸域的Bonnesen型对称混合不等式
- Bonnesen-Style Symmetric Mixed Isoperimetric Inequality
This page was built for publication: A sharp reverse Bonnesen-style inequality and generalization