Results 51 to 60 of about 627,608 (258)

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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Orlicz mixed chord-integrals

AIMS Mathematics, 2020
In this paper, we introduce an affine geometric quantity and call it Orlicz mixed chord integral by defining a new Orlicz chord addition, which generalizes the mixed chord integrals to Orlicz space.
Chang-Jian Zhao
doaj   +1 more source

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
doaj   +1 more source

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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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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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 the Penrose inequality for dust null shells in the Minkowski spacetime of arbitrary dimension

, 2012
A particular, yet relevant, particular case of the Penrose inequality involves null shells propagating in the Minkowski spacetime. Despite previous claims in the literature, the validity of this inequality remains open.
Mars, Marc, Soria, Alberto
core   +1 more source

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
doaj   +1 more source

Lp-Brunn-Minkowski inequality

Indagationes Mathematicae, 2009
AbstractWe introduce the notion of Lp-mixed intersection body (p < 1) and extend the classical notion dual mixed volume to an Lp setting. Further, we establish the Brunn-Minkowski inequality for the q-dual mixed volumes of star duals of Lp-mixed intersection bodies.
ChangJian, Z, Cheung, WS
openaire   +4 more sources

Dual Brunn-Minkowski inequality for C-star bodies

AIMS Mathematics
In this paper, we introduced the concept of $ C $-star bodies in a fixed pointed closed convex cone $ C $ and studied the dual mixed volume for $ C $-star bodies.
Xudong Wang, Tingting Xiang
doaj   +1 more source