Orlicz inequalities for radial Blaschke–Minkowski homomorphisms
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DOI: 10.1007/s11587-020-00501-z
Abstract: In the paper, our main aim is to generalize Brunn-Mingkowski inequality for the mixed radial Blaschke–Minkowski homomorphisms into the Orlicz space. The fundamental notions and conclusions of the mixed radial Blaschke–Minkowski homomorphisms as well as… read more here.
Keywords: radial blaschke; minkowski; mixed radial; blaschke minkowski ... See more keywords
Mixed chord-integrals of index $i$ and radial Blaschke-Minkowski homomorphisms
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DOI: 10.1216/rmj-2017-47-8-2627
Abstract: In this paper, two Brunn-Minkowski type inequalities for mixed chord-integrals of index i are established, which are related to the radial Blaschke-Minkowski homomorphisms of star bodies. Moreover, two inequalities similar to Giannopoulos, Hartzoulaki and Paouris’s… read more here.
Keywords: integrals index; radial blaschke; chord integrals; mixed chord ... See more keywords
Busemann-Petty problem for the i-th radial Blaschke-Minkowski homomorphisms
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DOI: 10.2298/fil1819819w
Abstract: Schuster introduced the notion of radial Blaschke-Minkowski homomorphism and considered its Busemann-Petty problem. In this paper, we further study the Busemann-Petty problem for the radial Blaschke-Minkowski homomorphisms and give the affirmative and negative forms of… read more here.
Keywords: blaschke minkowski; busemann petty; petty problem; radial blaschke ... See more keywords