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Log-Minkowski inequalities for the Lp$L_{p}$-mixed quermassintegrals
| Content Provider | Semantic Scholar |
|---|---|
| Author | Li, Chao Wang, Weidong |
| Copyright Year | 2019 |
| Abstract | Böröczky et al. proposed the log-Minkowski problem and established the plane log-Minkowski inequality for origin-symmetric convex bodies. Recently, Stancu proved the log-Minkowski inequality for mixed volumes; Wang, Xu, and Zhou gave the Lp$L_{p}$ version of Stancu’s results. In this paper, we define the Lp$L_{p}$-mixed quermassintegrals probability measure and obtain the log-Minkowski inequality for the Lp$L_{p}$-mixed quermassintegrals. As its application, we establish the Lp$L_{p}$-mixed affine isoperimetric inequality. In addition, we also consider the dual log-Minkowski inequalities for the Lp$L_{p}$-dual mixed quermassintegrals. |
| Starting Page | 1 |
| Ending Page | 21 |
| Page Count | 21 |
| File Format | PDF HTM / HTML |
| DOI | 10.1186/s13660-019-2042-6 |
| Volume Number | 2019 |
| Alternate Webpage(s) | https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/s13660-019-2042-6 |
| Alternate Webpage(s) | https://doi.org/10.1186/s13660-019-2042-6 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
