Results 111 to 120 of about 1,075 (214)

Lightweight Implicit Approximation of the Minkowski Sum of an N-Dimensional Ellipsoid and Hyperrectangle

open access: yesMathematics
This work considers the Minkowski sum of an N-dimensional ellipsoid and hyperrectangle, a combination that is extremely relevant due to the usage of ellipsoid-adjacent primitives in computer graphics for work such as 3D Gaussian splatting.
Martijn Courteaux   +3 more
doaj   +1 more source

The Minkowski inequalities via generalized proportional fractional integral operators

open access: yesAdvances in Difference Equations, 2019
Recent research has gained more attention on conformable integrals and derivatives to derive the various type of inequalities. One of the recent advancements in the field of fractional calculus is the generalized nonlocal proportional fractional ...
Gauhar Rahman   +3 more
doaj   +1 more source

Free and classical entropy over the circle. [PDF]

open access: yes, 2007
Relative entropy with respect to normalized arclength measure on the circle is greater than or equal to the negative logarithmic energy (Voiculescu's negative free entropy) and is greater than or equal to the modified relative free entropy.
Blower, Gordon
core  

Inequalities for dual affine quermassintegrals

open access: yesJournal of Inequalities and Applications, 2006
For star bodies, the dual affine quermassintegrals were introduced and studied in several papers. The aim of this paper is to study them further. In this paper, some inequalities for dual affine quermassintegrals are established, such as the Minkowski ...
Jun Yuan, Gangsong Leng
doaj  

On a complementary Minkowski inequality

open access: yesJournal of Mathematical Analysis and Applications, 1979
AbstractIt is shown that the Brunn-Minkowski inequality can be viewed as a special case of a complementary Minkowski inequality.
openaire   +1 more source

On discrete Brunn-Minkowski type inequalities [PDF]

open access: yes, 2020
La famosa desigualdad de Brunn-Minkowski establece que la raíz n-ésima del volumen de conjuntos compactos (y convexos) es una función cóncava. El principal objetivo de esta Tesis Doctoral es estudiar desigualdades de tipo Brunn-Minkowski en el contexto ...
Iglesias López, David
core  

An Improvement of an Inequality of Minkowski [PDF]

open access: yesProceedings of the National Academy of Sciences, 1951
openaire   +2 more sources

A Generalization Of The Inequality Of Minkowski

open access: yes, 2007
Let us suppose that the inequality is true for all the values less or equal to m.
openaire   +2 more sources

The Lₚ-Brunn–Minkowski inequalities for variational functionals with 0 ≤ p < 1 [PDF]

open access: yes
The infinitesimal forms of the Lₚ-Brunn–Minkowski inequalities for variational functionals, such as the q-capacity, the torsional rigidity, and the first eigenvalue of the Laplace operator, are investigated for p≥0. These formulations yield Poincaré-type
Hu, Jinrong
core   +1 more source

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