Polynomial splines on the real line
β Scribed by J.H Ahlberg; E.N Nilson
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 433 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
We study polynomial approximation on the whole real line with weight \(w=e^{-Q}\), where \(Q\) has polynomial growth at infinity. The following are the main problems considered: asymptotics for the Markov factors and for the rate of best approximation of \(|x|\), Jackson-type estimates for the degre
Let ,: (& , ) Γ (0, ) be a given continuous even function and let m be a positive integer. We show that, with some additional restrictions on ,, there exist decreasing sequences x 1 , ..., x m and y 1 , ..., y m&1 of symmetrically located points on (& , ) and corresponding polynomials P and Q of deg