Results 31 to 40 of about 5,544,078 (251)
Some Fractional Functional Inequalities and Applications to Some Constrained Minimization Problems Involving a Local Non-linearity [PDF]
arXiv, 2011 In this paper we prove the Fractional Gagliardo-Nirenberg Inequality, Polya-Szego Inequality and the Sharp Fractional Sobolev Inequality, we then provide an application of such inequalities in a constraiend variational problem involving the fractional gradient and alocal non ...
arxiv
Examining Connections between Gendered Dimensions of Inequality and Deforestation in Nepal [PDF]
, 2019 The United Nations recognizes empowering women as a key component of achieving numerous development-related goals. Qualitative studies suggest that communities where men and women have equal levels of agency over resource allocation and land tenure ...
Shafron, Ethan S
core +1 more source
Linear entropy and Bell inequalities [PDF]
Physical Review A, 2000 For mixed states of a pair of spin-1/2 particles, the positivity of the sum of the conditional linear entropies is a sufficient condition for the nonviolation of the Bell-CHSH (Clauser-Horne-Shimony-Holt) inequalities.
Santos Corchero, Emilio +1 more
openaire +3 more sources
Linear rank inequalities on five or more variables [PDF]
arXiv, 2009 Ranks of subspaces of vector spaces satisfy all linear inequalities satisfied by entropies (including the standard Shannon inequalities) and an additional inequality due to Ingleton. It is known that the Shannon and Ingleton inequalities generate all such linear rank inequalities on up to four variables, but it has been an open question whether ...
arxiv
From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality [PDF]
arXiv, 2007 We develop in this paper an improvement of the method given by S. Bobkov and M. Ledoux. Using the Pr\'ekopa-Leindler inequality, we prove a modified logarithmic Sobolev inequality adapted for all measures on $\dR^n$, with a strictly convex and super-linear potential.
arxiv
Exact Algorithms for Linear Matrix Inequalities [PDF]
SIAM Journal on Optimization, 2016 Let $A(x)=A\_0+x\_1A\_1+...+x\_nA\_n$ be a linear matrix, or pencil, generated by given symmetric matrices $A\_0,A\_1,...,A\_n$ of size $m$ with rational entries. The set of real vectors x such that the pencil is positive semidefinite is a convex semi-algebraic set called spectrahedron, described by a linear matrix inequality (LMI).
Henrion, Didier +2 more
openaire +5 more sources
Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality [PDF]
arXiv, 2011 We give a functional version of the affine isoperimetric inequality for log-concave functions which may be interpreted as an inverse form of a logarithmic Sobolev inequality inequality for entropy. A linearization of this inequality gives an inverse inequality to the Poincar'e inequality for the Gaussian measure.
arxiv
A theory of linear inequality systems
Linear Algebra and its Applications, 1988 AbstractThis paper provides results on the boundedness, the dimension, the boundary, and the relative boundary of the feasible set of (possibly infinite) linear inequality systems defined on a finite dimensional space. It analyzes the redundancy, the minimality, and the finite reduction of such systems, as well as the relation between any system and ...
Marco A. López, Miguel A. Goberna
openaire +2 more sources
A New Improvement of Hölder inequality via Isotonic Linear Functionals [PDF]
arXiv, 2019 In this paper, new improvement of celebrated H\"older inequality by means of isotonic linear functionals is established. An important feature of the new inequality obtained in here is that many existing inequalities related to the H\"older inequality can be improved via new improvement of H\"older inequality. We also show this in an application.
arxiv
Newton Methods For Large-Scale Linear Inequality-Constrained Minimization
SIAM Journal on Optimization, 1997 Newton methods of the linesearch type for large-scale minimization subject to linear inequality constraints are discussed. The purpose of the paper is twofold: (i) to give an active--set-type method with the ability to delete multiple constraints ...
A. Forsgren, W. Murray
semanticscholar +1 more source