log-minkowski inequalities for the lp $l_{p}$-mixed quermassintegrals

Clicks: 98
ID: 164019
2019
Free PDF
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This article has not been analysed, so there is no overall score — reader engagement is measured and shown alongside.
AI Quality Assessment
Not analyzed
Readership in this journal
Emerging

Ranked #11 of 11 articles by views in dialogos

Most read Least read

Bar heights use a square-root scale.

Mint this article as an NFT
Not yet minted

Create a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.

5 SUSD one-off · no wallet required
Sign in to mint
Abstract
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.
Reference Key
li2019journallog-minkowski Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Chao Li;Weidong Wang
Journal dialogos
Year 2019
DOI
10.1186/s13660-019-2042-6
URL
http://link.springer.com/article/10.1186/s13660-019-2042-6
Keywords Keywords not found

Citations

No citations found. To add a citation, contact the admin at info@scimatic.org

Comments

No comments yet. Be the first to comment on this article.