𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extended covariance identities and inequalities

✍ Scribed by Nicolas Privault


Book ID
104301756
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
116 KB
Volume
55
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


We state an abstract version of covariance identities and inequalities for normal martingales, which uses any gradient operator that satisÿes a Clark formula. This extends and makes more precise some results of Houdrà e and Pà erez-Abreu (Ann. Probab. 23 (1995)), with simpliÿed proofs.


πŸ“œ SIMILAR VOLUMES


Some Identities and Inequalities for Der
✍ K. Balazs; T. Kilgore πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 336 KB

We introduce some identities for the derivative of a trigonometric polynomial which are obtained from the identity of Riesz. We then use these new identities to derive some inequalities for derivatives of trigonometric and algebraic polynomials. Among our results are a weighted \(L^{p}\) inequality

Pseudo-LYM Inequalities and AZ Identitie
✍ PΓ©ter L. ErdΕ‘s; LΓ‘szlΓ³ A. SzΓ©kely πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 188 KB

We give pseudo-LYM inequalities in some posets and we give a new restriction in this way for their antichains. Typically these posets fail the LYM inequality and some of them are known to not be Sperner.