منابع مشابه
An extension of the Ky Fan inequality
The aim of this paper is to analyze the weighted KyFan inequality proposed in [11]. A number of numerical simulations involving the exponential weighted function is given. We show that in several cases and types of examples one can imply an improvement of the standard KyFan inequality.
متن کاملOriented matroids and Ky Fan's theorem
L. Lovász has shown in [9] that Sperner’s combinatorial lemma admits a generalization involving a matroid defined on the set of vertices of the associated triangulation. We prove that Ky Fan’s theorem admits an oriented matroid generalization of similar nature (Theorem 3.1). Classical Ky Fan’s theorem is obtained as a corollary if the underlying oriented matroid is chosen to be the alternating ...
متن کاملOn an identity of Ky Fan
This nice identity was applied in the same paper. Rather surprisingly, this result did not seem to have caught much attention. The object of this short note is to indicate some other consequences of identity (1), which have not been quoted in [5] or [6]. Before going further, and since no proof of this identity is given in [6], we thought worth to give one. The proof goes as follows. Put for an...
متن کاملKy Fan Inequality for Set-Valued Maps
In this paper, employing the Ky Fan section theorem,we give a class of Ky Fan inequality for set-valued maps,usually it takes Ky Fan inequality ,vector equilibrium problems as its special cases.
متن کاملSome extensions on Fan Ky ’ s inequality
In this paper we study the inequalities of the determinants of the positive definite matrices and the invertible matrices by applying the integral method and matrix theory such that extensions of Fan Ky’s inequality are established. And then an improvement of Fan Ky’s inequality is given by using the positive definiteness of Gram matrix. Mathematics Subject Classification (2010): 15A15, 26D15.
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ژورنال
عنوان ژورنال: Anaesthesia
سال: 2001
ISSN: 0003-2409
DOI: 10.1111/j.1365-2044.2001.2369-11.x