Zobrazeno 1 - 10
of 208
pro vyhledávání: '"star body"'
Autor:
Chang-Jian Zhao
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 6639-6656 (2020)
In this paper, we introduce an affine geometric quantity and call it Orlicz mixed chord integral by defining a new Orlicz chord addition, which generalizes the mixed chord integrals to Orlicz space. The Minkoswki and Brunn-Minkowski inequalities for
Externí odkaz:
https://doaj.org/article/b4dde61666e64820aa92b73e985d817e
Autor:
Wolf-Dieter Richter
Publikováno v:
Axioms, Vol 12, Iss 1, p 60 (2023)
Based upon a new general vector-valued vector product, generalized complex numbers with respect to certain positively homogeneous functionals including norms and antinorms are introduced and a vector-valued Euler type formula for them is derived usin
Externí odkaz:
https://doaj.org/article/73dc88c36c5946a68e2dc58fa6ce2aed
Akademický článek
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Publikováno v:
Annals of Mathematics, 1999 Mar 01. 149(2), 691-703.
Externí odkaz:
https://www.jstor.org/stable/120978
Autor:
Zhang, Gaoyong
Publikováno v:
Transactions of the American Mathematical Society, 1999 Mar 01. 351(3), 985-995.
Externí odkaz:
https://www.jstor.org/stable/117912
Autor:
Zhaofeng Li, Weidong Wang
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-12 (2016)
Abstract The notion of general mixed chord integrals of star bodies was introduced by Feng and Wang. In this paper, we extend the concept of the general mixed chord integrals to general L p $L_{p}$ -mixed chord integrals of star bodies. Based on this
Externí odkaz:
https://doaj.org/article/b9488cf16b70446c88e94e9c4dadabf8
Autor:
Wolf-Dieter Richter
Publikováno v:
Mathematics, Vol 7, Iss 8, p 738 (2019)
We first shortly review, in part throwing a new light on, basics of ball numbers for balls having a positively homogeneous Minkowski functional and turn over then to a new particular class of ball numbers of balls having a Minkowski functional being
Externí odkaz:
https://doaj.org/article/4d5dee0cc9f14333965a4b0258ae9465
Publikováno v:
Mathematics, Vol 7, Iss 7, p 590 (2019)
Based on the L p -harmonic radial combination, Li and Wang researched the asymmetric L p -harmonic radial bodies, which belong to the asymmetric L p -Brunn-Minkowski theory initiated by Ludwig, Haberl and Schuster. In this paper, combined with Orlicz
Externí odkaz:
https://doaj.org/article/f3cb85a89ae248438324dbba0dc6e651
Akademický článek
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Autor:
Eva B Vedel Jensen
Publikováno v:
Image Analysis and Stereology, Vol 19, Iss 1, Pp 15-18 (2011)
In the present paper, the variance of local stereological volume estimators is studied. For isotropic designs, the variance depends on the shape of the body under study and the choice of reference point. It can be expressed in terms of an equivalent
Externí odkaz:
https://doaj.org/article/b6df816984274490b668177dee6d0f42