Results 81 to 90 of about 636,012 (237)
A note on the proofs of generalized Radon inequality [PDF]
Mathematica Moravica, 2018 In this paper, we introduce and prove several generalizations of the Radon inequality. The proofs in the current paper unify and also are simpler than those in early published work.
Yongtao Li, Xian-Ming Gu, Xiao Jianci
doaj
Willmore‐type inequality in unbounded convex sets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract In this paper, we prove the following Willmore‐type inequality: on an unbounded closed convex set K⊂Rn+1$K\subset \mathbb {R}^{n+1}$ (n⩾2$(n\geqslant 2$), for any embedded hypersurface Σ⊂K${\Sigma }\subset K$ with boundary ∂Σ⊂∂K$\partial {\Sigma }\subset \partial K$ satisfying a certain contact angle condition, there holds 1n+1∫ΣHndA⩾AVR(K)|Bn+
Xiaohan Jia +3 more
wiley +1 more source
Generalization of the Brunn–Minkowski Inequality in the Form of Hadwiger [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 A class of domain functionals has been built in the Euclidean space. The Brunn–Minkowski type of inequality has been applied to the said class and proved for it.
B.S. Timergaliev
doaj
Hölder and Minkowski Type Inequalities with Alternating Signs [PDF]
J. Math. Inequal. 9 (2015), no. 1, 61-71, 2013 We obtain new inequalities with alternating signs of H\"{o}lder and Minkowski type.
arxiv
Minkowski inequality for nearly spherical domains [PDF]
Advances in Mathematics, 2021 Federico Glaudo
semanticscholar +1 more source
Exponentials rarely maximize Fourier extension inequalities for cones
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We prove the existence of maximizers and the precompactness of Lp$L^p$‐normalized maximizing sequences modulo symmetries for all valid scale‐invariant Fourier extension inequalities on the cone in R1+d$\mathbb {R}^{1+d}$. In the range for which such inequalities are conjectural, our result is conditional on the boundedness of the extension ...
Giuseppe Negro +3 more
wiley +1 more source
A direct proof of the Brunn-Minkowski inequality in Nilpotent Lie groups [PDF]
arXiv, 2019 The purpose of this work is to give a direct proof of the multiplicative Brunn-Minkowski inequality in nilpotent Lie groups based on Hadwiger-Ohmann's one of the classical Brunn-Minkowski inequality in Euclidean space.
arxiv
Bounds on Fourier coefficients and global sup‐norms for Siegel cusp forms of degree 2
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Let F$F$ be an L2$L^2$‐normalized Siegel cusp form for Sp4(Z)${\rm Sp}_4({\mathbb {Z}})$ of weight k$k$ that is a Hecke eigenform and not a Saito–Kurokawa lift. Assuming the generalized Riemann hypothesis, we prove that its Fourier coefficients satisfy the bound |a(F,S)|≪εk1/4+ε(4π)kΓ(k)c(S)−12det(S)k−12+ε$|a(F,S)| \ll _\epsilon \frac{k^{1/4 ...
Félicien Comtat +2 more
wiley +1 more source
Some Inequalities Combining Rough and Random Information
Entropy, 2018 Rough random theory, generally applied to statistics, decision-making, and so on, is an extension of rough set theory and probability theory, in which a rough random variable is described as a random variable taking “rough variable” values.
Yujie Gu, Qianyu Zhang, Liying Yu
doaj +1 more source
The Orlicz-Brunn-Minkowski theory: A general framework, additions, and inequalities [PDF]
arXiv, 2013 The Orlicz-Brunn-Minkowski theory, introduced by Lutwak, Yang, and Zhang, is a new extension of the classical Brunn-Minkowski theory. It represents a generalization of the $L_p$-Brunn-Minkowski theory, analogous to the way that Orlicz spaces generalize $L_p$ spaces.
arxiv