Results 11 to 20 of about 387 (175)
On Logarithmic Convexity for Ky-Fan Inequality [PDF]
Journal of Inequalities and Applications, 2008 We give an improvement and a reversion of the well-known Ky-Fan inequality as well as some related results.
J. Pečarić, Matloob Anwar
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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.
Peng Gao
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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]
S S Dragomir
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On the Ky Fan inequality and some of its applications
Computers and Mathematics With Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juan JOSÉ Egozcue
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Ky Fan inequality and bounds for differences of means [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We prove an equivalent relation between Ky Fan-type inequalities and certain bounds for the differences of means. We also generalize a result of Alzer et al. (2001).
Peng Gao
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A generalization of Ky Fan′s inequality [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 Let Pn,r(x) be the generalized weighted means. Let F(x) be a C1 function, y = y(x) an implicit decreasing function defined by f(x, y) = 0 and 0 < m < M ≤ m′, n ≥ 2, xi ∈ [m, M], yi ∈ [m′, M′]. Then for −1 ≤ r ≤ 1, if , ⋅M/m′ A similar result exists for . By specifying f(x, y) and F(x), we get various generalizations of Ky Fan′s inequality.
Chan, Tsz Ho, Gao, Peng
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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.
Chung Wei Ha
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Semicontinuity of the Solution Mapping to a Parametric Generalized Weak Ky Fan Inequality [PDF]
Abstract and Applied Analysis, 2014 Under new assumptions, which do not contain any information about the solution set, the upper and lower semicontinuity of the solution mapping to a class of parametric generalized weak Ky Fan inequality are established by using a nonlinear scalarization ...
Y. D. Xu
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Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems [PDF]
Journal of Applied Mathematics, 2012 Under new assumptions, we provide suffcient conditions for the (upper and lower) semicontinuity and continuity of the solution mappings to a class of generalized parametric set-valued Ky Fan inequality problems in linear metric space.
Z. Y. Peng, X. B. Li
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Generalized Equilibrium Problems Related to Ky Fan Inequalities [PDF]
Abstract and Applied Analysis, 2014 We study a generalized equilibrium problem by using a nonsymmetric extension of Ky Fan’s inequality. As an application, we present a fixed point type algorithm inspired by a model from Tada and Takahashi (2007).
Ionel Rovenţa
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