Results 101 to 110 of about 5,434,968 (247)

Operator extensions of Hua's inequality [PDF]

open access: yesLinear Alg. Appl. 430 (2009) 1131-1139, 2008
We give an extension of Hua's inequality in pre-Hilbert $C^*$-modules without using convexity or the classical Hua's inequality. As a consequence, some known and new generalizations of this inequality are deduced. Providing a Jensen inequality in the content of Hilbert $C^*$-modules, another extension of Hua's inequality is obtained. We also present an
arxiv  

An integral analogue of the Ostrowski inequality

open access: yesJournal of Inequalities and Applications, 1998
We give an integral analogue of the Ostrowski inequality and several extensions, allowing in particular for multiple linear constraints.
Pečarić J   +2 more
doaj  

A Variation on Hölder-Brascamp-Lieb Inequalities [PDF]

open access: yesarXiv, 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  

A Diaz--Metcalf type inequality for positive linear maps and its applications [PDF]

open access: yesElectron. 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  

A Lyapunov-Type Inequality for a Fractional Differential Equation under a Robin Boundary Condition

open access: yesJournal of Function Spaces, 2015
We establish a new Lyapunov-type inequality for a class of fractional differential equations under Robin boundary conditions. The obtained inequality is used to obtain an interval where a linear combination of certain Mittag-Leffler functions has no real
Mohamed Jleli   +2 more
doaj   +1 more source

On the Non-robustness of Essentially Conditional Information Inequalities [PDF]

open access: yesarXiv, 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  

Novel Gabor-Type Transform and Weighted Uncertainty Principles

open access: yesMathematics
The linear canonical Fourier transform is one of the most celebrated time-frequency tools for analyzing non-transient signals. In this paper, we will introduce and study the deformed Gabor transform associated with the linear canonical Dunkl transform ...
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source

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