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JOURNALS // Problemy Peredachi Informatsii // Archive
Probl. Peredachi Inf., 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

Abstract: We prove two correlation inequalities conjectured in [1] for functions that are linear combinations of unimodal Boolean monotone nondecreasing functions.

UDC: 621.391.1+519.1

Received: 07.02.2014
Revised: 17.06.2014


 English version: Problems of Information Transmission, 2014, 50:3, 280–284

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© Steklov Math. Inst. of RAS, 2024