Results 31 to 40 of about 5,545 (117)
On a Class of Ky Fan‐Type Inequalities [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We study one class of Ky Fan‐type inequalities, which has ties with the original Ky Fan inequality. Our result extends the known ones.
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On a singular value inequality of Ky Fan and Hoffman [PDF]
Proceedings of the American Mathematical Society, 1993 It is shown that the identity operator is a best unitary approximant to any positive measurable operator affiliated with a semifinite von Neumann algebra equipped with a distinguished faithful normal semifinite trace.
Dodds, Peter G., Dodds, Theresa K.-Y.
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Journal of Mathematical Analysis and Applications, 2002 The Ky Fan inequality asserts that \[ \left[ \prod_{i=1}^{n}x_{i}\biggl/\prod_{i=1}^{n}(1-x_{i})\right]
Dragomir, Sever S +1 more
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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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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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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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Adaptive Weighted Total Variation Penalty for Precise Change Point Detection
Australian &New Zealand Journal of Statistics, Volume 68, Issue 2, June 2026.ABSTRACT Total variation (TV)‐based methods, such as the fused lasso, are standard for change point detection but are impaired by issues like local monotonicity. To address these limitations, this study comparatively analyses the fused lasso with two alternative methodologies.
Dong‐Young Lee +2 more
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