Results 21 to 30 of about 54 (54)

Lorentzian polynomials on cones

Forum of Mathematics, Sigma
Inspired by the theory of hyperbolic polynomials and Hodge theory, we develop the theory of Lorentzian polynomials on cones. This notion captures the Hodge-Riemann relations of degree zero and one.
Petter Brändén, Jonathan Leake
doaj   +1 more source

Equality cases of the Alexandrov–Fenchel inequality are not in the polynomial hierarchy

Forum of Mathematics, Pi
Describing the equality conditions of the Alexandrov–Fenchel inequality [Ale37] has been a major open problem for decades. We prove that in the case of convex polytopes, this description is not in the polynomial hierarchy unless the polynomial hierarchy ...
Swee Hong Chan, Igor Pak
doaj   +1 more source

Inequalities of Aleksandrov body

Journal of Inequalities and Applications, 2011
A new concept of p-Aleksandrov body is firstly introduced. In this paper, p-Brunn-Minkowski inequality and p-Minkowski inequality on the p-Aleksandrov body are established.
Yan Hu, Junhua Jiang
doaj  

Geometric properties of the family of p-parallel bodies

Analysis and Geometry in Metric Spaces
We study geometric properties of the family of p-parallel bodies of a convex body K with respect to a gauge body E. In particular, we investigate various regularity properties of their boundaries by means of their 0-extreme vectors, aiming for extensions
Hernández Cifre María A., Martínez Fernández Antonio R., Saorín Gómez Eugenia   +2 more
doaj   +1 more source

L _p -Dual geominimal surface area

Journal of Inequalities and Applications, 2011
Lutwak proposed the notion of Lp -geominimal surface area according to the Lp -mixed volume. In this article, associated with the Lp -dual mixed volume, we introduce the Lp -dual geominimal surface area and prove some inequalities for this notion.
Weidong Wang, Chen Qi
doaj  

Some inequalities for two simplices in the Euclidean space Eⁿ. [PDF]

Heliyon, 2023
Pan J, Zuo X.
europepmc   +1 more source

Some inequalities for ( p , q ) -mixed volume. [PDF]

J Inequal Appl, 2018
Chen B, Wang W.
europepmc   +1 more source

Covering functionals of cones and double cones. [PDF]

J Inequal Appl, 2018
Wu S, Xu K.
europepmc   +1 more source

Improvements of the Hermite-Hadamard inequality for the simplex. [PDF]

J Inequal Appl, 2017
Pavić Z.
europepmc   +1 more source

Total chemical synthesis of proteins without HPLC purification. [PDF]

Chem Sci, 2016
Loibl SF, Harpaz Z, Zitterbart R, Seitz O.   +3 more
europepmc   +1 more source