Results 81 to 90 of about 3,409,213 (214)
Maximal violation of Bell's inequality and atomic cascade photons [PDF]
arXiv, 1998 A correlation inequality is derived from local realism and a supplementary assumption. This inequality is violated by a factor of 1.5 in the case of real experiments, whereas previous inequalities such as Clauser-Horne-Shimony-Holt inequality of 1969 and Clauser-Horne inequality of 1974 are violated by a factor of $\sqrt 2$.
arxiv
ON YOUNG'S INEQUALITY AND ITS REVERSE FOR BOUNDING THE LORENZ CURVE AND GINI MEAN
, 2009 The performance of the Young integral inequality is investigated for bounding the Lorenz curve and the Gini index. The study relies on a comparison of reverse Young type integral inequalities.
P. Cerone
semanticscholar +1 more source
Matrix versions of Young's inequality
, 2009 A matrix majorization version of the general Young’s inequality xy Φ(x) +Ψ(y) is presented. Multivariate Young’s inequality is extended to the matrix setting by means of the geometric mean of positive semidefinite matrices.
Tomaž Kosem
semanticscholar +1 more source
An Extension of Alzer's Inequality [PDF]
arXiv, 2007 In this article, we obtain two interesting general inequalities concerning Riemman sums of convex functions, which in particular, sharpen Alzer's inequality and give a suitable converse for it.
arxiv
Journal of Honai MathVisual images are frequently utilized to elucidate concepts in general mathematics and geometry; however, their application in mathematical analysis remains uncommon. This paper demonstrates how visual imagery can enhance the proof of certain theorems in
Jonatan Muzangwa, Ugorji Ogbonnaya
doaj +1 more source
On several new results related to Richard's inequality [PDF]
arXivThe main study of this article is the characterization of Richard's inequality, because it is closely related to Buzano's inequality. Finally, we present a newapproach for Richard's inequality, where we use the Selberg operator.
arxiv
One example about the relationship between the CD inequality and CDE' inequality [PDF]
arXiv, 2016 In this paper,we will give an easy example to satisfy that we can not conclude CDE' Inequality just from the CD Inequality.
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
Log-Sobolev, isoperimetry and transport inequalities on graphs [PDF]
arXiv, 2015 In this paper, we study some functional inequalities (such as Poincar\'e inequalities, logarithmic Sobolev inequalities, generalized Cheeger isoperimetric inequalities, transportation-information inequalities and transportation-entropy inequalities) for reversible nearest-neighbor Markov processes on a connected finite graph by means of (random) path ...
arxiv