A Variation on Hölder-Brascamp-Lieb Inequalities [PDF]
arXiv, 2017 The H\"older-Brascamp-Lieb inequalities are a collection of multilinear inequalities generalizing a convolution inequality of Young and the Loomis-Whitney inequalities. The full range of exponents was classified in Bennett et al. (2008). In a setting similar to that of Ivanisvili and Volberg (2015), we introduce a notion of size for these inequalities ...
arxiv
Solution of systems of linear inequalities on a digital computer [PDF]
, 1952 Alex Orden
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On the boundedness of an iterative procedure for solving a system of linear inequalities [PDF]
, 1970 H. D. Block, Simon A. Levin
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A Diaz--Metcalf type inequality for positive linear maps and its applications [PDF]
Electron. J. Linear Algebra 22 (2011), 179-190, 2011 We present a Diaz--Metcalf type operator inequality as a reverse Cauchy-Schwarz inequality and then apply it to get the operator versions of P\'{o}lya-Szeg\"{o}'s, Greub-Rheinboldt's, Kantorovich's, Shisha-Mond's, Schweitzer's, Cassels' and Klamkin-McLenaghan's inequalities via a unified approach.
arxiv
Linear inequalities and some related properties of functions [PDF]
, 1930 Lloyd L. Dines
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On the Non-robustness of Essentially Conditional Information Inequalities [PDF]
arXiv, 2012 We show that two essentially conditional linear inequalities for Shannon's entropies (including the Zhang-Yeung'97 conditional inequality) do not hold for asymptotically entropic points. This means that these inequalities are non-robust in a very strong sense.
arxiv
Estimates for Tsallis relative operator entropy [PDF]
arXiv, 2017 We give the tight bounds of Tsallis relative operator entropy by using Hermite-Hadamard's inequality. Some reverse inequalities related to Young inequalities are also given. In addition, operator inequalities for normalized positive linear map with Tsallis relative operator entropy are given.
arxiv
Inequalities for Linear Combinations of Order Statistics from Restricted Families [PDF]
, 1966 Richard E. Barlow, Frank Proschan
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On a class of equivalent systems of linear inequalities [PDF]
, 1963 Isidore Heller
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On a non-linear system of parabolic integro-differential inequalities in an unbounded region [PDF]
, 1967 I. Łojczyk-Królikiewicz, J. Szarski
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