منابع مشابه
A Univariate Inequality for Medians
There has been a great deal of recent emphasis on majorization and related correlation inequalities, for example Marshall and Olkin [11' and Karlin and Rinott [2]. These inequalities have a variety of important applications. However they are based solely on mathematical expectations, for example the result below due to Karamata [3]. After stating this result we give our analog for medians. Kara...
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The result in this paper exp lains some of the qualitative nature of Jensen's inequality. It is shown that the more disperse the distribution of a random variable is, the smaller is the expectation of any concave function of it. This result can be used to show the inadequacy of some current methods of reporting environmental data by using geometric means, and it extends the resu lt of I. Billic...
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متن کاملA NORM INEQUALITY FOR CHEBYSHEV CENTRES
In this paper, we study the Chebyshev centres of bounded subsets of normed spaces and obtain a norm inequality for relative centres. In particular, we prove that if T is a remotal subset of an inner product space H, and F is a star-shaped set at a relative Chebyshev centre c of T with respect to F, then llx - qT (x)1I2 2 Ilx-cll2 + Ilc-qT (c) 112 x E F, where qT : F + T is any choice functi...
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ژورنال
عنوان ژورنال: Journal of Research of the National Bureau of Standards
سال: 1982
ISSN: 0160-1741
DOI: 10.6028/jres.087.009