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Problemy Peredachi Informatsii, 2014, Volume 50, Issue 3, Pages 87–92
(Mi ppi2146)
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Large Systems
Proof of two conjectures on correlation inequalities for one class of monotone functions
V. M. Blinovskyab a Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, Brazil
b Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
Abstract:
We prove two correlation inequalities conjectured in [1] for functions that are linear combinations of unimodal Boolean monotone nondecreasing functions.
Received: 07.02.2014 Revised: 17.06.2014
Citation:
V. M. Blinovsky, “Proof of two conjectures on correlation inequalities for one class of monotone functions”, Probl. Peredachi Inf., 50:3 (2014), 87–92; Problems Inform. Transmission, 50:3 (2014), 280–284
Linking options:
https://www.mathnet.ru/eng/ppi2146 https://www.mathnet.ru/eng/ppi/v50/i3/p87
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