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A new refinement of the Ky Fan inequality [PDF]
Mathematical Inequalities & Applications, 1999 Let \(A_n( \underline x), G_n( \underline x), I_n( \underline x)\) denote, respectively, the arithmetic, geometric and identric means of the positive \(n\)-tuple \(\underline x\). The famous Ky Fan inequality is: if \( 0< a_i\leq 1/2, 1\leq 2\leq n\) and if \(b_i = 1- a_i, 1\leq i\leq n\) then \(G_n( \underline a)\big/ G_n( \underline b)\leq A_n ...
Sándor, József, Trif, Tiberiu
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Planar Coulomb Gas on a Jordan Arc at Any Temperature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
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Psychology &Marketing, EarlyView.ABSTRACT Luxury brands communicate symbolic value through a variety of brand signals, among which exclusivity and heritage represent two most prominent yet conceptually distinctive luxury signals. However, little is known about whether consumers respond equally favorably to these alternative luxury brand signaling strategies. This research examines how
Arnold Japutra +4 more
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Journal of Mathematical Analysis and Applications, 1989 Two proofs are offered for the inequality \[ x_ 1^{1/n}x_ 2^{1/n}...x_ n^{1/n}(1-x_ 1)^{-1/n}(1-x_ 2)^{-1/n}...(1- x_ n)^{-1/n}\leq (x_ 1+x_ 2+...+x_ n)(n-x_ 1-x_ 2-x_ n)^{-1} \] (x\({}_ k\in]0,1/2]\), \(k=1,2,...,n)\) with \(= iff\) \(x_ 1=x_ 2=...=x_ n\). [For a generalization see \textit{N. Levison}, J. Math. Anal. Appl.
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Linear and Multilinear Algebra, 2011 There are several inequalities in the literature carrying the name of Ky Fan. We survey these well-known Ky Fan inequalities and some other significant inequalities generalized by Ky Fan and review some of their recent developments.
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Operator Ky Fan type inequalities [PDF]
Linear Algebra and its Applications, 2018 In this paper, we extend some significant Ky Fan type inequalities in a large setting to operators on Hilbert spaces and derive their equality conditions. Among other things, we prove that if $f:[0,\infty)\rightarrow[0,\infty)$ is an operator monotone function with $f (1) = 1$, $f'(1)=μ$, and associated mean $σ$, then for all operators $A$ and $B$ on a
S. Habibzadeh, J. Rooin, M.S. Moslehian
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What England Is and What It Claims to Be: Orwell on National Identity
The Political Quarterly, EarlyView.Abstract This article suggests that George Orwell's body of work offers a rather unique and insightful two‐part conception of national identity in the context of England, made up of a moral inheritance—the values of liberty, fairness and decency—and a lived sensibility—the fluid, experiential quality of collective life expressed in shared customs ...
Sam Taylor Hill
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Solution for the system of generalized nonlinear mixed variational inequality problems
Demonstratio MathematicaWe propose in this paper a class of generalized nonlinear mixed variational inequality problems on Banach spaces, which is composed of three elliptic generalized nonlinear mixed variational inequality problems.
Gissy Hussain +2 more
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On Some Generalized Ky Fan Minimax Inequalities [PDF]
Fixed Point Theory and Applications, 2009 AbstractSome generalized Ky Fan minimax inequalities for vector-valued mappings are established by applying the classical Browder fixed point theorem and the Kakutani-Fan-Glicksberg fixed point theorem.
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The Milbank Quarterly, EarlyView.Policy Points Position Universal, High‐Quality Education as a Foundational Public Health Strategy. Long‐term health and life expectancy in the United States are shaped more by educational attainment than by any other single factor. Disparities in access to early childhood, K‐12, and higher education perpetuate cycles of chronic disease, economic ...
ALI H. MOKDAD +2 more
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