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Problemy Peredachi Informatsii, 2014, Volume 50, Issue 3, Pages 87–92 (Mi ppi2146)  

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
References:
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
English version:
Problems of Information Transmission, 2014, Volume 50, Issue 3, Pages 280–284
DOI: https://doi.org/10.1134/S0032946014030065
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.1
Language: Russian
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
Citation in format AMSBIB
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\pages 87--92
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\pages 280--284
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