Natural exponential families of probability distributions and exponential-polynomial approximation
β Scribed by Clyde Martin; Victor Shubov
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 877 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We consider exponential weights of the form w :=e &Q on (&1, 1) where Q(x) is even and grows faster than (1&x 2 ) &$ near \1, some $>0. For example, we can take where exp k denotes the kth iterated exponential and exp 0 (x)=x. We prove Jackson theorems in weighted L p spaces with norm & fw& Lp(&1,
We consider exponential weights of the form w :=e &Q on [&1, 1] where Q(x) is even and grows faster than (1&x 2 ) &$ near \1, some $>0. For example, we can take where exp k denotes the kth iterated exponential and exp 0 (x)=x. We prove converse theorems of polynomial approximation in weighted L p s