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Some inequalities for Lp radial Blaschke-Minkowski homomorphisms.
- Source :
- QM - Quaestiones Mathematicae; Mar2019, Vol. 42 Issue 3, p391-405, 15p
- Publication Year :
- 2019
-
Abstract
- The notion of radial Blaschke-Minkowski homomorphisms was presented by Schuster. Afterwards, Wang et al. introduced L<subscript>p</subscript> radial Blaschke-Minkowski homomorphisms. In this paper, associated with L<subscript>p</subscript>-dual affine surface areas, we establish some inequalities including the Brunn-Minkowski type inequality, cyclic inequality and monotonic inequalities, and give an affirmative answer and a negative answer of Busemann-Petty problem for the L<subscript>p</subscript> radial Blaschke-Minkowski homomorphisms. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 42
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 135909078
- Full Text :
- https://doi.org/10.2989/16073606.2018.1453884