Results 51 to 60 of about 2,936 (172)
On the Discrete Orlicz Electrostatic q‐Capacitary Minkowski Problem
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 We establish the existence of solutions to the Orlicz electrostatic q‐capacitary Minkowski problem for polytopes. This contains a new result of the discrete Lp electrostatic q‐capacitary Minkowski problem for p < 0and 1 < q < n.
Yibin Feng, Yanping Zhou, Youjiang Lin
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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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Unification of Generalized and p‐Convexity
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In the present note, we will introduce the definition of generalized p convex function. We will investigate some properties of generalized p convex function. Moreover, we will develop Jensen’s type, Schur type, and Hermite Hadamard type inequalities for generalized p convex function.
Chahn Yong Jung +6 more
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Some new Brunn-Minkowski-type inequalities in convex bodies
International Journal of Mathematics and Mathematical Sciences, 2005 We establish some analogues of the Brunn-Minkowski inequalities on convex bodies and the Minkowski inequality and their inverse versions. As an application, we generalize and improve some interrelated results.
Zhao Chang-Jian +2 more
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The Brunn--Minkowski inequality and a Minkowski problem for 𝒜-harmonic Green's function
Advances in Calculus of Variations, 2019 In this article we study two classical problems in convex geometry associated to 𝒜{\mathcal{A}}-harmonic PDEs, quasi-linear elliptic PDEs whose structure is modelled on the p-Laplace equation.
M. Akman +3 more
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Dual cyclic Brunn-Minkowski inequalities [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 An application of Minkowski and Hölder inequalities to functions on the sphere \(\mathbb S^{n-1}\) led the author to a new interpolation type inequality between norms \(L_r\), \(L_s\), \(L_t\) for \(r\), \(s\), \(t \in \mathbb R\). This was furthermore used to derive new Brunn-Minkowski type inequalities for dual quermassintegrals of star bodies in ...
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$L_{p}$-dual Brunn–Minkowski inequality for intersection bodies
Portugaliae MathematicaIn 2003, associated with the radial Minkowski additions of star bodies, Zhao and Leng established the dual Brunn–Minkowski inequality for intersection bodies. In this paper, associated with the L_{p} -radial Minkowski combinations of star bodies,
Weidong Wang
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Quantitative stability for the Brunn–Minkowski inequality [PDF]
Advances in Mathematics, 2017 We prove a quantitative stability result for the Brunn-Minkowski inequality: if $|A|=|B|=1$, $t \in [ ,1- ]$ with $ >0$, and $|tA+(1-t)B|^{1/n}\leq 1+ $ for some small $ $, then, up to a translation, both $A$ and $B$ are quantitatively close (in terms of $ $) to a convex set $K$.
Figalli, Alessio, Jerison, David S.
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, 2020 Communications on Pure and Applied Mathematics, Volume 73, Issue 7, Page 1406-1452, July, 2020.
Károly J. Böröczky +4 more
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Dual Orlicz geominimal surface area
Journal of Inequalities and Applications, 2016 The L p $L_{p}$ -geominimal surface area was introduced by Lutwak in 1996, which extended the important concept of the geominimal surface area. Recently, Wang and Qi defined the p-dual geominimal surface area, which belongs to the dual Brunn-Minkowski ...
Tongyi Ma, Weidong Wang
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