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Taylor & Francis Group The Inequality of Milne and its

By Horst Alzera

Abstract

We prove: Let wj> O(j,n;n> 2) be real numbers with)-’’’=l wj 1. Then we have for all real numbers pj E [0, 1)(j 1,...,n): with the best possible exponents and/Y 2 minl<A<_n wj. The left-hand side of (0.1) with is a discrete version of an integral inequality due to E.A. Milne [1]. Moreover, we present a matrix analogue of (0.1)

Topics: Milne’s inequality, Inequalities for sums, Matrix inequalities
Year: 2016
OAI identifier: oai:CiteSeerX.psu:10.1.1.1006.8975
Provided by: CiteSeerX
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