Results 31 to 40 of about 551,551 (65)
On the inequalities of Ky Fan, Wang–Wang and Alzer
Journal of Mathematical Analysis and Applications, 2002 Let \(A\), \(G\) and \(H\) (or \(A(a)\), \(G(a)\) and \(H(a)\)) be, respectively, the unweighted arithmetic, geometric and harmonic means of the real numbers \(a_1,\dots, a_n\) (\(a_i>0\), \(i= 1,\dots, n\)). Let \(1= (1,\dots, 1)\) and \(A^+= A(1+ a)\), \(G^+= G(1+a)\), \(H^+= H(1+ a)\), then \[ {1\over H^+}- {1\over H}\leq {1\over G^+}- {1\over G ...
Govedarica, Vidan, Jovanović, Milan
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An “Error Term” for the Ky Fan Inequality
Journal of Mathematical Analysis and Applications, 1998 By using the Taylor expansion in order to improve the classical Jensen inequality, the author obtains a refinement of Ky Fan's inequality.
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ORTHOGONAL TRACE-SUM MAXIMIZATION: APPLICATIONS, LOCAL ALGORITHMS, AND GLOBAL OPTIMALITY. [PDF]
SIAM J Matrix Anal Appl, 2021 Won JH, Zhou H, Lange K.
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The inequalities of W. Sierpinski and Ky Fan
Journal of Mathematical Analysis and Applications, 1990 Durch ``einschieben'' einer Funktion zwischen den zwei Seiten bekannter Ungleichungen (die dann Werte oder Grenzwerte dieser Funktion sind), verschärfen und verallgemeinern die Verff. in verschiedenen Richtungen eine überraschend große Anzahl von Ungleichungen, z.B. die von Sierpiński und Ky Fan. Die Methode geht auf \textit{D. K. Callebaut} [J.
Alzer, Horst +2 more
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Ky Fan Inequality and Bounds for Differences of Means [PDF]
, 2002 We prove an equivalent relation between Ky Fan-typed inequalities and certain bounds for the differences of means. We also generalize a result of H. Alzer, S.
Peng Gao, Gao, Peng, Peng Gao
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Applications of generalized Ky Fan's matching theorem in minimax and variational inequality [PDF]
We present some application of the generalized Ky Fan's Matching Theorem stated by Chebbi, Gourdel and Hammami in minimax and variational inequalities using a generalized coercivity type condition for correspondences defined in L-space.L-structures, L ...
Pascal Gourdel, Hakim Hammami
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On Some Inequalities of Ky Fan and Wang-Wang
Journal of Mathematical Analysis and Applications, 1993 The main result of the paper states the following inequality: \[ H_ n\leq {n+\sum b_ i\over n+\sum 1/b_ i}\leq G_ n\leq {\sum b_ i/(1+ b_ i)\over \sum 1/(1+ b_ i)}\leq A_ n, \] where \(0< b_ i\leq 1\) and \(A_ n\), \(G_ n\), \(H_ n\) denote the arithmetic, geometric, and harmonic mean, respectively, of the numbers \(b_ 1,\dots,b_ n\).
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SOME GENERALIZED KY FAN’S INEQUALITIES
Taiwanese Journal of Mathematics, 2009 In this paper, we generalize Ky Fan’s minimax inequality to vectorvalued function with values in a topological vector space acting on the product of two other topological vector spaces which are connected by another function. In these results, the concavity or convexity on a function is transferred to another function.
Tang, Gu-Sheng +2 more
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On Ky Fan's Inequality and Its Additive Analogue
Journal of Mathematical Analysis and Applications, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A generalized FKKM theorem and variational inequality [PDF]
We present a generalized FKKM Theorem and it's application to the existence of solution for the variationals inequalities using a generalized coercivity type condition for correspondences defined in L-space.L-structure, L-spaces, L-KKM correspondences, L-
Hakim Hammami
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