Results 1 to 10 of about 387 (175)

On Some Generalized Ky Fan Minimax Inequalities [PDF]

Fixed Point Theory and Applications, 2009
AbstractSome generalized Ky Fan minimax inequalities for vector-valued mappings are established by applying the classical Browder fixed point theorem and the Kakutani-Fan-Glicksberg fixed point theorem.
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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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Identity Extension for Function on Three Intervals and Application to Csiszar Divergence, Levinson and Ky Fan Inequalities

AppliedMath
Using Taylor-type expansions, we obtain identity expressions for functions on three intervals and differences for two pairs of Csiszár ϕ-divergence. With some more assumptions in these identities, inequalities for functions on three intervals and Csiszár
Josip Pečarić, Jinyan Miao, Ðilda Pečarić   +2 more
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Refining Jensen–Mercer inequality and its applications in probability and statistics

Journal of Inequalities and Applications
This paper focuses on refining the Jensen–Mercer inequality and extending its applications to various important inequalities, including Hölder’s, Ky Fan, and AM-GM inequalities.
Rabia Bibi, Sajid Ali
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SOME MATRIX INEQUALITIES OF KY FAN TYPE

Tamkang Journal of Mathematics, 1995
Oneofthewell-knowngeneraliztionsoftheKantorovichinequalitywas given by Ky Fan who established his results for one positive definite matrix but for several vectors. Here we give corresponding results for several matrices and vectors. As well, a number of related inequalities are established.
Mond, B., Pečarić, J. E.
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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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Notes on certain inequalities by Hölder, Lewent and Ky Fan [PDF]

Journal of Mathematical Inequalities, 2007
The aim of this paper is twofold. First we show that the famous H\"older inequality (which one, according to [10] should be called as the Rogers inequality)was discovered by Grolous [5] and Besso [3] about 10 years before Rogers. On the other hand, a result obtained by Lewent [9] leads to a new proof of the famous Ky Fan inequality [2]. Related results
Jovanović, Milan V., Poganj, Tibor, Sandor, Jozsef   +2 more
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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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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, Ando, Tsuyoshi, Nakamura, Yoshihiro   +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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