Results 81 to 90 of about 7,613 (204)

A matrix inequality including that of Kantorovich-Hermite, II

Journal of Mathematical Analysis and Applications, 1992
[For part I see the second author, ibid. 13, 49-52 (1966; Zbl 0131.015).] For an \(n\times n\) positive definite Hermitian matrix \(A\) the authors prove that \[ 1\geq{(A^{r+s}x,x)\over (A^{sp}x,x)^{1/p}(A^{qr}x,x)^{1/q}}\geq K \] for the real numbers \(r,s,p,q\), with \(1/p+1/q=1\), \((ps-rq)/p>0\), \(p>1\), where \(K\) is a certain number.
Pec̃arić, J.E, Mond, B
openaire   +2 more sources

Some new Young type inequalities

AIMS Mathematics
In this paper, we gave some generalized Young type inequalities due to Zuo and Li [J. Math. Inequal., 16 (2022), 1169-1178], and we also presented a new Young type inequality.
Yonghui Ren
doaj   +1 more source

Nonlocal Lagrange multipliers and transport densities

Bulletin of Mathematical Sciences
We prove the existence of generalized solutions of the Monge–Kantorovich equations with fractional [Formula: see text]-gradient constraint, [Formula: see text], associated to a general, possibly degenerate, linear fractional operator of the type, ℒsu ...
Assis Azevedo, José Francisco Rodrigues, Lisa Santos   +2 more
doaj   +1 more source

Characterization of the optimal plans for the Monge-Kantorovich transport problem

, 2006
We present a general method, based on conjugate duality, for solving a convex minimization problem without assuming unnecessary topological restrictions on the constraint set.
Léonard, Christian
core   +2 more sources

A matrix version of Rennie’s generalization of Kantorovich’s inequality [PDF]

Proceedings of the American Mathematical Society, 1965
Let A be a positive definite hermetian matrix with eigenvalues l >X2 >_ * **X>n (A -XnI) (A -X11)A-1, where I is the unit matrix, is easily seen to be negative semi-definite since the first factor is positive semi-definite, the second negative semi-definite, the third positive definite and all three commute.
openaire   +1 more source

Fine Properties of Geodesics and Geodesic λ-Convexity for the Hellinger-Kantorovich Distance. [PDF]

Arch Ration Mech Anal, 2023
Liero M, Mielke A, Savaré G.
europepmc   +1 more source

Further refinement of Young’s type inequalities and its reversed using the Kantorovich constants

, 2023
Mohamed Amine Ighachane, Mohamed Akkouchi   +1 more
openalex   +2 more sources

Extensions of inequalities involving Kantorovich constant [PDF]

Mathematical Inequalities & Applications, 2011
In this paper, two methods of extending inequalities involving Kantorovich constant are presented. An inequality of Micic et al. [Linear Algebra Appl., 318 (2000), 87–107] on positive linear maps and geometric mean of positive definite matrices is extended to arbitrary matrices having accretive transformation. A result of Dragomir [JIPAM 5 (3), Art.76,
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Efficient Discrete Optimal Transport Algorithm by Accelerated Gradient Descent. [PDF]

Proc AAAI Conf Artif Intell, 2022
An D, Lei N, Xu X, Gu X.
europepmc   +1 more source

Homogenisation of dynamical optimal transport on periodic graphs. [PDF]

Calc Var Partial Differ Equ, 2023
Gladbach P, Kopfer E, Maas J, Portinale L.   +3 more
europepmc   +1 more source