Results 131 to 140 of about 10,703 (163)

On $L_p$ Ky Fan determinant inequalities

open access: yesRevista de la Unión Matemática Argentina
Bingxiu Lyu, Danni Xu
openaire   +1 more source

2025 Heart Disease and Stroke Statistics: A Report of US and Global Data From the American Heart Association. [PDF]

open access: yesCirculation
Martin SS   +41 more
europepmc   +1 more source

The inequality of Ky Fan and related results

Acta Applicandae Mathematicae, 1995
This survey paper presents refinements, extensions, and variants of the well-known Ky Fan inequality \[ \prod^n_{i = 1} \bigl( y_i/(1 - y_i) \bigr)^{1/n} < \sum^n_{i = 1} y_i \left/ \sum^n_{i = 1} \right. (1 - y_i), \] valid for all real numbers \(y_i \in (0,1/2]\) \((i = 1, \ldots, n)\) which are not all equal.
Horst Alzer
exaly   +2 more sources

A localized version of Ky Fan’s minimax inequality

Nonlinear Analysis: Theory, Methods & Applications, 1999
The celebrated Ky Fan's minimax inequality concerns a convex compact set \(K\) in some normed space, and a bivariate function \(f: K\times K\to R\). The authors establish an equivalent version of Ky Fan's result, but which has a ``local'' flavor: it involves the tangent cone to \(K\) and a certain type of Clarke's generalized derivative of \(f\).
G Kassay, Zsolt Páles
exaly   +3 more sources

On Some Generalizations and Refinements of a Ky Fan Inequality

Southeast Asian Bulletin of Mathematics, 2000
This paper proves various extensions of the Ky Fan inequality and also gives an interesting proof, using Levinson 's inequality, of a previous extension by the same author [Southeast Asian Bull. Math. 22, No. 4, 363-372 (1998; Zbl 0947.26022)]. In particular we have the following results: for any \(k\geq 1\), \[ (k-G_n')/(k-A_n')\leq A_n/G_n \] and if \
exaly   +3 more sources

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