A generalization of the Ahlswede-Daykin inequality

Discrete Mathematics

Volumn 152, Issue 1-3, 1996, Pages 1-12

  Aharoni, Ron ^a   Keich, Uri ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30244512591     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0012-365X(94)00294-S     Document Type: Article

References (10)

1. R. Ahlswede and D.E. Daykin, An inequality for the weights of two families of sets, their union and intersection, Z. Wahrscheinl. Geb. 43 (1978) 183-185.
2. R. Ahlswede and D.E. Daykm, Inequalities for a pair of maps S × S → S with S a finite set, Math. Z. 165 (1979) 267-289.
3. E.F. Beckenbach and R. Belman, Inequalities (Springer, New York, 1965).
4. D.E. Daykin, A lattice is distributive iff |A| |B| ≤ |A ∨ B| |A ∧ B|, Nanta Math. 10 (1977) 58-60.
5. D.E. Daykin, A hierarchy of inequalities. Stud. Appl. Math. 63 (1980) 263-274.
6. C.M. Fortuin, P.W. Kasteleyn and J. Ginibre, Correlation inequalities on some partially ordered sets, Comm. Math. Phys. 22 (1971) 89-103.
7. D.J. Kleitman, Families of non-disjoint subsets, J. Combin. Theory 1 (1966) 153-155.
8. A.W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications (Academic Press, New York, 1979).
9. Y. Rinott and M. Saks, Correlation inequalities and a conjecture for permanents, Combinatorica, to appear.
10. Y. Rinott and M. Saks, On FKG-type and permanental inequalities, in: M. Shaked and Y.L. Tong, eds., Proc. 1991 AMS-IMS-SIAM Joint Conf. on Stochastic Inequalities, IMS Lecture Series.