Results 1 to 10 of about 76 (71)
The General Dual Orlicz Geominimal Surface Area
Journal of Function Spaces, 2020 In this paper, we study the general dual Orlicz geominimal surface area by the general dual Orlicz mixed volume which was introduced by Gardner et al. (2019).
Ni Li, Shuang Mou
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A theoretical context for (θ,β)-convexity and (θ,β)-concavity with hypersoft settings [PDF]
Big Data and Computing Visions, 2023 Sub-attribute-valued sets are occasionally viewed as more significant in real-life circumstances than a single set of attributes. The current models that deal with ambiguity and uncertainty, or soft sets, are insufficient to address such situations.
Atiqe Ur Rahman
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Minimal angle spread in the probability simplex with respect to the uniform distribution [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We compute the minimal angle spread with respect to the uniform distribution in the probability simplex. The resulting optimization problem is analytically solved.
Heinz H. Bauschke +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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Isoperimetric and Brunn-Minkowski inequalities for the (p, q)-mixed geominimal surface areas
Open Mathematics, 2022 Motivated by the celebrated work of Lutwak, Yang and Zhang [1] on (p,q)\left(p,q)-mixed volumes and that of Feng and He [2] on (p,q)\left(p,q)-mixed geominimal surface areas, we in the present paper establish and confirm the affine isoperimetric and ...
Zhang Juan, Wang Weidong, Zhao Peibiao
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The Lp dual Minkowski problem about 0 < p < 1 and q > 0
Open Mathematics, 2021 The (p,qp,q)-th dual curvature measures and the Lp{L}_{p} dual Minkowski problem were recently introduced by Lutwak, Yang, and Zhang. In this paper, we give a solution to the existence part of the Lp{L}_{p} dual Minkowski problem about ...
Lu Fangxia, Pu Zhaonian
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Some inequalities for star duality of the radial Blaschke-Minkowski homomorphisms
Open Mathematics, 2020 In 2006, Schuster introduced the radial Blaschke-Minkowski homomorphisms. In this article, associating with the star duality of star bodies and dual quermassintegrals, we establish Brunn-Minkowski inequalities and monotonic inequality for the radial ...
Zhao Xia, Wang Weidong, Lin Youjiang
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Inverse Gauss Curvature Flows and Orlicz Minkowski Problem
Analysis and Geometry in Metric Spaces, 2022 Liu and Lu [27] investigated a generalized Gauss curvature flow and obtained an even solution to the dual Orlicz-Minkowski problem under some appropriate assumptions.
Chen Bin, Cui Jingshi, Zhao Peibiao
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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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General complex Lp projection bodies and complex Lp mixed projection bodies
Open Mathematics, 2022 Abardia and Bernig proposed the notions of complex projection body and complex mixed projection body. In this paper, we introduce the concepts of the general complex Lp{L}_{p} projection body and complex Lp{L}_{p} mixed projection body.
Cheng Manli, Yang Wenjing, Zhou Yanping
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