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Further inequalities and properties of p-inner parallel bodies
- Source :
- Canadian Journal of Mathematics. 74:368-380
- Publication Year :
- 2020
- Publisher :
- Canadian Mathematical Society, 2020.
-
Abstract
- A. R. Martínez Fernández obtained upper bounds for quermassintegrals of the p-inner parallel bodies: an extension of the classical inner parallel body to the $L_p$ -Brunn-Minkowski theory. In this paper, we establish (sharp) upper and lower bounds for quermassintegrals of p-inner parallel bodies. Moreover, the sufficient and necessary conditions of the equality case for the main inequality are obtained, which characterize the so-called tangential bodies.
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 74
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........c7ea761d3272e7ade26852d171dcef19