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On the Ky Fan inequality and related inequalities I [PDF]
Mathematical Inequalities & Applications, 2002 Ky Fan type inequalities for means of two or more variables are obtained. Refinements and improvements of known inequalities are derived. Applications to symmetric elliptic integrals of the first and second kind are also included.
Neuman, Edward, Sándor, József
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On Logarithmic Convexity for Ky-Fan Inequality [PDF]
Journal of Inequalities and Applications, 2008 Damos una mejora y una reversión de la conocida desigualdad de Ky-Fan, así como algunos resultados relacionados.
Matloob Anwar, Josip Pečarić
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Mathematical Inequalities & Applications, 2001 The authors prove the Ky-Fan like inequalities \({\mathfrak H_n( \underline a; \underline w)\over\mathfrak H_n' ( \underline a; \underline w)}\leq {\mathfrak G_n( \underline a; \underline w)\over\mathfrak G_n' ( \underline a; \underline w)}\), where the notation \(\mathfrak H_n' ( \underline a; \underline w)\) for \(\mathfrak H_n' ( 1-\underline a ...
Gavrea, Ioan, Trif, Tiberiu
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An extension of the Ky Fan inequality
CoRR, 2015 12 pages, 7 ...
Yuri M. Suhov, Salimeh Yasaei Sekeh
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Refinements of Ky Fan's Inequality [PDF]
Proceedings of the American Mathematical Society, 1993 Let \(x_ k\in]0,1/2]\) \((k=1,\dots,n)\), \[ A_ n=(x_ 1+\cdots+x_ n)/n,\;A_ n'=(1-x_ 1+\cdots+1-x_ n)/n, \] \[ G_ n=(x_ 1x_ 2,\dots,x_ n)^{1/n},\;G_ n'=((1-x_ 1)(1-x_ 2)\dots(1-x_ n))^{1/n}. \] The author states that both (1) \((1-G_ n)/(1-A_ n)\) and (2) \((1-G_ n')/(1-A_ n')\) lie between \(A_ n'/G_ n'\) and \(A_ n/G_ n\) with equality iff \(x_ 1=x_ ...
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On a Minimax Inequality of KY Fan [PDF]
Proceedings of the American Mathematical Society, 1987 An extension of a minimax inequality of Ky Fan is given. It is then used to generalize to the set-valued setting a fixed point theorem of Ky Fan.
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Refinements on an Inequality of Ky Fan
Journal of Mathematical Analysis and Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Gou-Sheng, Wang, Chung-shin
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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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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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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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