On best constants in some martingale inequalities
β Scribed by Mok, Jinsik
- Book ID
- 112947169
- Publisher
- Springer-Verlag
- Year
- 1994
- Tongue
- English
- Weight
- 98 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1226-0061
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## An additive form of the Landau inequality for is proved for 0<c (cos(?Γ2n)) &2 , 1 m n&1, with equality for , where T n is the Chebyshev polynomial. From this follows a sharp multiplicative inequality, For these values of \_, the result confirms Karlin's conjecture on the Landau inequality f
The Bernstein operator on the standard k-simplex and other analogous k-variate operators allow for a probabilistic representation in terms of the successive increments of a real valued superstationary stochastic process (a notion introduced in the paper) starting at the origin and having nondecreasi