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Bonnesen-style symmetric mixed inequalities
- Source :
- Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-13 (2016)
- Publisher :
- Springer Nature
-
Abstract
- In this paper, we investigate the symmetric mixed isoperimetric deficit $\Delta_{2}(K_{0},K_{1})$ of domains $K_{0}$ and $K_{1}$ in the Euclidean plane $\mathbb{R}^{2}$ . Via the known kinematic formulae of Poincare and Blaschke in integral geometry, we obtain some Bonnesen-style symmetric mixed inequalities. These new Bonnesen-style symmetric mixed inequalities are known as Bonnesen-style inequalities if one of the domains is a disc. Some inequalities obtained in this paper strengthen the known Bonnesen-style inequalities.
- Subjects :
- Pure mathematics
symmetric mixed isoperimetric deficit
lcsh:Mathematics
Applied Mathematics
010102 general mathematics
Mathematical analysis
Kinematics
Bonnesen-style symmetric mixed inequality
isoperimetric inequality
lcsh:QA1-939
01 natural sciences
Integral geometry
010101 applied mathematics
symbols.namesake
symmetric mixed isoperimetric inequality
Euclidean geometry
Poincaré conjecture
symbols
Mathematics::Metric Geometry
Discrete Mathematics and Combinatorics
0101 mathematics
Isoperimetric inequality
Analysis
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 1029242X
- Volume :
- 2016
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of Inequalities and Applications
- Accession number :
- edsair.doi.dedup.....f7ae5a14a52b7e76fe17791abead560d
- Full Text :
- https://doi.org/10.1186/s13660-016-1146-5