Results 11 to 20 of about 73 (69)
Journal of Inequalities and Applications, 2011 Lutwak proposed the notion of Lp -geominimal surface area according to the Lp -mixed volume. In this article, associated with the Lp -dual mixed volume, we introduce the Lp -dual geominimal surface area and prove some inequalities for this notion.
Weidong Wang, Chen Qi
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Inequalities of Aleksandrov body
Journal of Inequalities and Applications, 2011 A new concept of p-Aleksandrov body is firstly introduced. In this paper, p-Brunn-Minkowski inequality and p-Minkowski inequality on the p-Aleksandrov body are established.
Yan Hu, Junhua Jiang
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Reducing the complexity of equilibrium problems and applications to best approximation problems [PDF]
, 2023 We consider the scalar equilibrium problems governed by a bifunction in a finite-dimensional framework and we characterize the solutions by means of extreme or exposed points.
FODOR, Valerian-Alin +1 more
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EXPECTED MEAN WIDTH OF THE RANDOMIZED INTEGER CONVEX HULL
Mathematika, Volume 67, Issue 2, Page 422-433, April 2021., 2021 Abstract Let K⊂Rd be a convex body, and assume that L is a randomly rotated and shifted integer lattice. Let KL be the convex hull of the (random) points K∩L. The mean width W(KL) of KL is investigated. The asymptotic order of the mean width difference W(λK)−W((λK)L) is maximized by the order obtained by polytopes and minimized by the order for smooth ...
Binh Hong Ngoc, Matthias Reitzner
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EXPECTED f‐VECTOR OF THE POISSON ZERO POLYTOPE AND RANDOM CONVEX HULLS IN THE HALF‐SPHERE
Mathematika, Volume 66, Issue 4, Page 1028-1053, October 2020., 2020 Abstract We prove an explicit combinatorial formula for the expected number of faces of the zero polytope of the homogeneous and isotropic Poisson hyperplane tessellation in Rd. The expected f‐vector is expressed through the coefficients of the polynomial (1+(d−1)2x2)(1+(d−3)2x2)(1+(d−5)2x2)….Also, we compute explicitly the expected f‐vector and the ...
Zakhar Kabluchko
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Iterations of the projection body operator and a remark on Petty’s conjectured projection inequality [PDF]
, 2018 Mathematics subject classification; 52A20, 53A15, 52A39 ...
Saroglou, Christos, Zvavitch, Artem
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International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 63-67, 1978., 1977 A new proof of a (slightly extended) geometric version of Tucker′s fundamental result is given.
Abraham Berman, Michael Tarsy
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, 1996 . We introduce Chebyshev measures. We generalize the representation theorem concerning both measures admitting a density function which is a T --system and oriented measures. 1991 Mathematics Subject Classification. 41A50, 46G10, 52A20.
Carlo Mariconda +4 more
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Open Mathematics, 2018 In this paper, by the Orlicz-Minkowski combinations of convex bodies, we define the general Orlicz difference bodies and study their properties. Furthermore, we obtain the extreme values of the general Orlicz difference bodies and their polars.
Shi Wei, Wang Weidong, Ma Tongyi
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Variations in the sub-defect of doubly substochastic matrices
Special MatricesThe sub-defect of a doubly stochastic matrix AA, denoted as sd(A)=⌈n−sum(A)⌉sd\left(A)=\lceil n-{\rm{sum}}\left(A)\rceil , is defined as the minimum number of rows and columns required to be added to transform the doubly substochastic matrix into a ...
Cao Lei +2 more
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