# Correlation inequalities and a conjecture for permanents

Article

- Received:

DOI: 10.1007/BF01202353

- Cite this article as:
- Rinott, Y. & Saks, M. Combinatorica (1993) 13: 269. doi:10.1007/BF01202353

- 5 Citations
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## Abstract

This paper presents conditions on nonnegative real valued functions This “2m-function” theorem generalizes the “4-function” theorem of [2], which in turn generalizes a “2-function” theorem ([8]) and the celebrated FKG inequality. It also contains (and was partly inspired by) an “m against 2” inequality that was deduced in [5] from a general product theorem.

*f*_{1},*f*_{2},...,*f*_{m}and*g*_{1},*g*_{2},...*g*_{m}implying an inequality of the type$$\mathop \Pi \limits_{i = 1}^m \int {f_i (x)d\mu } (x) \leqslant \mathop \Pi \limits_{i = 1}^m \int {g_i (x)d\mu } (x).$$

### AMS subject classification code (1991)

60 C 05 60 E 15 06 D 99 05 D 99 06 A 07## Copyright information

© Springer-Verlag 1993