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pro vyhledávání: '"Michael Roysdon"'
Autor:
Michael Roysdon, Sudan Xing
Publikováno v:
Transactions of the American Mathematical Society. 374:5003-5036
Autor:
María A. Hernández Cifre, David Alonso-Gutiérrez, Jesús Yepes Nicolás, Artem Zvavitch, Michael Roysdon
Publikováno v:
Zaguán. Repositorio Digital de la Universidad de Zaragoza
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In this paper we prove a series of Rogers–Shephard type inequalities for convex bodies when dealing with measures on the Euclidean space with either radially decreasing densities or quasi-concave densities attaining their maximum at the origin. Fun
Autor:
Michael Roysdon
Publikováno v:
Journal of Mathematical Analysis and Applications. 487:123958
In this paper we address the following question: given a measure μ on R n , does there exist a constant C > 0 such that, for any m-dimensional subspace H ⊂ R n and any convex body K ⊂ R n , the following sectional Rogers-Shephard type inequality
Publikováno v:
Proceedings of the London Mathematical Society. 125(5):1083-1129
The inequalities of Petty and Zhang are affine isoperimetric-type inequalities providing sharp bounds for $\text{vol}^{n-1}_{n}(K)\text{vol}_n(\Pi^\circ K),$ where $\Pi K$ is a projection body of a convex body $K$. In this paper, we present a number