Results 21 to 30 of about 656 (184)

A Converse of Minkowski's Type Inequalities

Journal of Inequalities and Applications, 2010
Let \(p>0, q>0,\) and \(a_{ij}\geq 0\, (i=1,\dots,m;j=1,\dots,n)\) be real numbers. Then for \(p\geq 1\) the (converse Minkowski) inequality \[ \sum_{i=1}^m\left(\sum_{j=1}^n a_{ij}^p\right)^{1/p}\leq C\left(\sum_{j=1}^n\left(\sum_{i=1}^m a_{ij}^q\right)^{p/q}\right)^{1/p} \] holds, where \(C=C(m,n,p,q)\) is a positive constant whose dependence on its ...
Kalaj David, Meštrović Romeo
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Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes

Journal of Function Spaces, 2018
Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
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Some logarithmic Minkowski inequalities for nonsymmetric convex bodies and related problems

Journal of Inequalities and Applications, 2020
In this paper, we show the existence of a solution to an even logarithmic Minkowski problem for p-capacity and prove some analogue inequalities of the logarithmic Minkowski inequality for general nonsymmetric convex bodies involving p-capacity.
Lewen Ji
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On The Reverse Minkowski’s Integral Inequality

Kragujevac Journal of Mathematics, 2022
The aim of this work is to obtain the reverse Minkowski integral inequality. For this aim, we first give a proposition which is important for our main results. Then we establish some reverse Minkowski integral inequalities for parameters 0 < p < 1 and p < 0, respectively.
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Geometric approaches to establish the fundamentals of Lorentz spaces $\mathbb{R}_2^3$ and $\mathbb{R}_1^2$ [PDF]

Mathematica Bohemica
The aim of this paper is to investigate the orthogonality of vectors to each other and the Gram-Schmidt method in the Minkowski space $\mathbb{R}_2^3$.
Sevilay Çoruh Şenocak, Salim Yüce
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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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A Steiner Inequality for the Anisotropic Perimeter

Journal of Function Spaces, 2022
In this paper, we prove the monotonicity of the anisotropic perimeter of sets of finite perimeter under Steiner symmetrization by a variational formula of volume and an inequality for the anisotropic lower outer Minkowski content.
Jin Dai
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The log-Brunn–Minkowski inequality

Advances in Mathematics, 2012
It is conjectured that for origin-symmetric convex bodies, there exist a family of inequalities each of which is stronger than the classical Minkowski mixed-volume inequality and a family of inequalities each of which is stronger than the classical Brunn-Minkowski inequality.
Böröczky, Károly (Ifj.), Lutwak, E., Yang, D., Zhang, G.   +3 more
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On Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions

Journal of Mathematics, 2022
By utilizing the peculiarities of superquadratic and subquadratic functions, we give the extensions for multidimensional inequalities of Hardy-type with general kernel.
M. Zakarya, Ghada AlNemer, H. A. Abd El-Hamid, Roqia Butush, H. M. Rezk   +4 more
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On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems

Axioms, 2022
This paper is concerned with the radius of robust global error bounds for an uncertain piecewise linear inequality system where the uncertain data are assumed to be in polytope uncertain sets.
Wen Tan, Xiaole Guo, Xiangkai Sun
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