Inequalities for curvature integrals in Euclidean plane
Abstract Let γ be a closed strictly convex curve in the Euclidean plane R2 $\mathbb{R}^{2}$ with length L and enclosing an area A, and A˜1 $\tilde{A}_{1}$ denote the oriented area of the domain enclosed by the locus of curvature centers of γ. Pan and Xu conjectured that there exists a best constant...
Main Author: | Zengle Zhang |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-06-01
|
Series: | Journal of Inequalities and Applications |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13660-019-2116-5 |
Similar Items
-
Bonnesen-style inequalities on surfaces of constant curvature
by: Min Chang
Published: (2018-11-01) -
Torsional rigidity on compact Riemannian manifolds with lower Ricci curvature bounds
by: Gamara Najoua, et al.
Published: (2015-09-01) -
A sharp reverse Bonnesen-style inequality and generalization
by: Pengfu Wang
Published: (2019-04-01) -
Bonnesen-style symmetric mixed inequalities
by: Pengfu Wang, et al.
Published: (2016-09-01) -
Isoperimetric inequalities for conformal moments of plane domains
by: Avkhadiev FG, et al.
Published: (2002-01-01)