Converse theorems for approximation by bernstein polynomials in Lp[0,1] (1
โ Scribed by K. G. Ivanov
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 554 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0176-4276
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this note we will show that for \(0<p<1\) simultaneous polynomial approximation is not possible. "1995 Academic Press. Inc.
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