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Matrices Doubly Stochastic by Blocks

Published online by Cambridge University Press:  20 November 2018

Pal Fischer  and
John A. R. Holbrook
Pal Fischer
Affiliation:
University of Guelph, Guelph, Ontario
John A. R. Holbrook
Affiliation:
University of Guelph, Guelph, Ontario
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Abstract

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The present work stems from the following classical result, due to G. H. Hardy, J. E. Littlewood, G. Pólya [7], and R. Rado [10].

THEOREM 1. Concerning a pair of n-tuples x, y ϵ Rn, the following four statementsare equivalent:

(a) for every continuous, convex function f : R → R

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 3 , 01 June 1977 , pp. 559 - 577
Copyright
Copyright © Canadian Mathematical Society 1977

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