Results 41 to 50 of about 33,078 (239)

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

open access: yes, 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 Refinements of Multidimensional Inequalities of Hardy-Type via Superquadratic and Subquadratic Functions

open access: yesJournal 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   +4 more
doaj   +1 more source

On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems

open access: yesAxioms, 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

New Minkowski type inequalities and entropic inequalities for quantum states of qudits

open access: yes, 2014
The two-parameter Minkowski like inequality written for composite quantum system state is obtained for arbitrary Hermitian nonnegative matrix with trace equal to unity.
Man'ko, V. I., Markovich, L. A.
core   +1 more source

Generalizations of Minkowski and Beckenbach–Dresher Inequalities and Functionals on Time Scales

open access: yesInternational Journal of Analysis and Applications, 2020
We generalize integral forms of the Minkowski inequality and Beckenbach–Dresher inequality on time scales. Also, we investigate a converse of Minkowski’s inequality and several functionals arising from the Minkowski inequality and the Beckenbach–Dresher ...
Rabia Bibi   +2 more
doaj  

Fractional generalizations of Young and Brunn-Minkowski inequalities

open access: yes, 2011
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for certain parameter ranges.
Bobkov, Sergey   +2 more
core   +1 more source

Some new Brunn-Minkowski-type inequalities in convex bodies

open access: yesInternational 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
doaj   +1 more source

The Orlicz Brunn–Minkowski inequality

open access: yesAdvances in Mathematics, 2014
The Orlicz-Brunn-Minkowski theory was introduced by Lutwak, Yang and Zhang, being an extension of the classical Brunn-Minkowski theory. It represents a generalization of the \(L_p\)-Brunn-Minkowski theory. For a convex, strictly increasing \(\phi:[0,\infty]\longrightarrow [0,\infty)\), with \(\phi(0)=0\) and \(K,L\) convex and compact sets containing ...
Xi, Dongmeng   +2 more
openaire   +2 more sources

Equivariant toric geometry and Euler–Maclaurin formulae

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell   +3 more
wiley   +1 more source

On the Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space

open access: yes, 2018
Using the weak solution of Inverse mean curvature flow, we prove the sharp Minkowski-type inequality for outward minimizing hypersurfaces in Schwarzschild space.Comment: minor revision, accepted by Calculus of Variations and ...
Wei, Yong
core   +1 more source

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