A Rate-Splitting Approach to Fading Channels with Imperfect Channel-State Information
, 2014 As shown by M\'edard, the capacity of fading channels with imperfect channel-state information (CSI) can be lower-bounded by assuming a Gaussian channel input $X$ with power $P$ and by upper-bounding the conditional entropy $h(X|Y,\hat{H})$ by the ...
Fonollosa, Javier Rodríguez +2 more
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Complementary inequalities to Davis-Choi-Jensen's inequality and operator power means
, 2021 Let $f$ be an operator convex function on $(0,\infty)$, and $ $ be a unital positive linear maps on $B(H)$. we give a complementary inequality to Davis-Choi-Jensen's inequality as follows \begin{equation*} f( (A))\geq \frac{4R(A,B)}{(1+R(A,B))^2} (f(A)), \end{equation*} where $R(A, B)=\max\{r(A^{-1}B) ,r(B^{-1}A)\}$ and $r(A)$ is the spectral radius
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Norm inequalities for weighted power means of operators
Linear Algebra and its Applications, 2002 Let \(A_{i}\), \(X_{i}\) and \(Y_{i}\) be bounded linear operators on a Hilbert space for \(i=1,2,\dots ,n\). In the present paper, the authors prove the following norm inequalities: (i) If \(\sum_{i=1}^{n}X^{*}_{i}X_{i}\leq I\), \(\sum_{i=1}^{n}Y^{*}_{i}Y_{ i}\leq I\) and \(r\geq 1\), then \[ \Bigg|\Bigg|\Bigg|\Bigg |\sum_{i =1}^{n} X_{i}^{*}A_{i}Y_{i}
Hirzallah, Omar, Kittaneh, Fuad
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A new framework of measuring inequality: Variable equivalence scales and group-specific well-being limits. Sensitivity findings for German personal income distribution 1995-2009* [PDF]
The paper examines sensitivity influences on the German personal income distribution in a time-series perspective as well as in a methodically broad manner.
Jürgen Faik
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About the relation of inequality and poverty with crime in Mexico [PDF]
, 2012 This article studies the relation between crime and inequality and between crime and poverty in Mexico using reported crime data from 1963 municipalities from the years 2000 and 2005.
Calderón, Sully, Valero Gil, Jorge Noel
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Some inequalities for weighted power mean
Journal of Mathematical InequalitieszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Reforming IMF and World Bank governance : in search of simplicity, transparency and democratic legitimacy in the voting rules [PDF]
We discuss the reform of the voting rules at the heart of the governance of the IMF and World Bank (the BWIs) in terms of three principles that we suggest ought to be fundamental: simplicity, transparency and democratic legitimacy.
Leech, Dennis, Leech, Robert
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New Quantum Estimates of Trapezium-Type Inequalities for Generalized ϕ-Convex Functions
Mathematics, 2019 In this paper, a quantum trapezium-type inequality using a new class of function, the so-called generalized ϕ -convex function, is presented. A new quantum trapezium-type inequality for the product of two generalized ϕ -convex functions is ...
Miguel J. Vivas-Cortez +3 more
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Note on Generalization of Power Means and Their Inequalities
Journal of Mathematical Analysis and Applications, 1999 New proofs of two results of the reviewer [J. Math. Anal. Appl. 161, No. 2, 395--404 (1991; Zbl 0753.26009)] are given.
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Jessen's functional, its properties and applications
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we consider Jessen's functional, defined by means of a positive isotonic linear functional, and investigate its properties. Derived results are then applied to weighted generalized power means, which yields extensions of some recent results,
Lovričević Neda +2 more
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