Proof of two conjectures on correlation inequalities for one class of monotone functions
Vladimir Blinovsky
TL;DR
This paper proves two conjectures related to correlation inequalities for a specific class of monotone functions that are linear combinations of unimodal Boolean functions, advancing theoretical understanding in this area.
Contribution
It provides the first proof of these conjectures, establishing new correlation inequalities for this class of functions.
Findings
Confirmed two conjectures on correlation inequalities
Established new bounds for unimodal Boolean monotone functions
Enhanced theoretical framework for correlation inequalities
Abstract
We prove two conjectures on correlation inequalities for functions that are linear combinations of unimodal Boolean monotone nondecreasing functions
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Taxonomy
TopicsMathematical Approximation and Integration · Approximation Theory and Sequence Spaces · Multi-Criteria Decision Making