Results 21 to 30 of about 241 (116)
Evolution of the Minimax Inequality of Ky Fan [PDF]
Journal of Operators, 2013 There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period.
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Generalization of a Matrix Inequality of Ky Fan
Journal of Mathematical Analysis and Applications, 1995 The authors give some new and interesting inequalities for matrices. One of the main results is: Let \(f : I \subset \mathbb{R} \to \mathbb{R}\) be a convex function and \(A_j\), \(j = 1, \ldots, k\), are Hermitian matrices with eigenvalues in \(I\), \(x_j \in \mathbb{C}^n\), \(j = 1, \ldots, k\), with \(\sum^k_{j = 1} (x_j, x_j) = 1\). Then \[ f \left(
Mond, B., Pečarić, J. E.
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A new approach to Ky Fan‐type inequalities [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The study of the behavior of means under equal increments of their variables provides a new approach to Ky Fan‐type inequalities. Via this approach we are able to prove some new results on Ky Fan‐type inequalities. We also prove some inequalities involving the symmetric means.
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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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Minimax inequalities of Ky Fan
Applied Mathematics Letters, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Ji Hui, Ma, Ruyun
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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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Generalized KKM theorem, minimax inequalities and their applications [PDF]
, 1994 This paper extends the well-known KKM theorem and variational inequalities by relaxing the closedness of values of a correspondence and lower semicontinuity of a function. The approach adopted is based on Michael's continuous selection theorem.
Tian, Guoqiang
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Testing for Network Specificity in Brain‐Behavior Associations Using Ordinal Dominance Curves
Human Brain Mapping, Volume 47, Issue 5, 1 April 2026.NETDOM is a novel statistical framework for testing whether brain–behavior associations within a region of interest are both significantly greater than zero and larger than associations outside of the selected region. ABSTRACT Interpreting brain‐behavior relationships through the lens of anatomical parcellations or functional networks is commonplace in
Noah Hillman +13 more
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On the Ky Fan inequality and some of its applications
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
José Luis Díaz-Barrero +2 more
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Impact of Doi Moi Agricultural Reforms on Vietnamese Crop Production
Agricultural Economics, Volume 57, Issue 2, March 2026.ABSTRACT This study uses a natural experiment design to evaluate the effects of the Doi Moi revolution in Vietnam on production outcomes for the country's five largest crops (rice, coffee, tea, cassava, and rubber). We test whether Doi Moi reforms had statistically measurable impacts on agricultural production using the synthetic control method (SCM ...
Youngjune Kim, K. Aleks Schaefer
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