Article contents
Some Good Sequences of Interpolatory Polynomials: Addendum
Published online by Cambridge University Press: 20 November 2018
Extract
In 1974 [2] we used the n + 2 zeros of (1 - x2)Pn(α, β)(x), α, β > — 1, where Pn(α, β)(x) denotes Jacobi polynomials, to construct a sequence of linear operators {An(α, β)(f, x)} which has the following properties:
(i) An(α, β)(f, x) is a linear polynomial operator mapping C[— 1, 1] into polynomials of degree ≦ n(1 + c), (c > 0 fixed but arbitrary)
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1977
References
- 4
- Cited by