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   Articles with "blaschke minkowski" as a keyword



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Orlicz inequalities for radial Blaschke–Minkowski homomorphisms

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recommendations! Published in 2020 at "Ricerche di Matematica"

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
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Mixed chord-integrals of index $i$ and radial Blaschke-Minkowski homomorphisms

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recommendations! Published in 2017 at "Rocky Mountain Journal of Mathematics"

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
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Busemann-Petty problem for the i-th radial Blaschke-Minkowski homomorphisms

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recommendations! Published in 2018 at "Filomat"

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
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Shephard Type Problem for Lp-mixed Blaschke-Minkowski homomorphisms

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recommendations! Published in 2020 at "Quaestiones Mathematicae"

DOI: 10.2989/16073606.2020.1785575

Abstract: Abstract In 2006, Schuster introduced the concept of Blaschke-Minkowski homo-morphism of convex bodies. In this paper, we introduce the Lp -mixed Blaschke-Minkowski homomorphism in Lp -Brunn-Minkowski theory. We then further study the Shephard type problem… read more here.

Keywords: shephard type; blaschke minkowski; type problem; mixed blaschke ... See more keywords