Gaussian quadrature rules with exponential weights on (−1, 1)
✍ Scribed by M. C. De Bonis; G. Mastroianni; I. Notarangelo
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 433 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0029-599X
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📜 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
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