Some Good Sequences of Interpolatory Polynomials: Addendum
Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1163-1166

Voir la notice de l'article provenant de la source Cambridge University Press

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)
Freud, G.; Sharma, A. Some Good Sequences of Interpolatory Polynomials: Addendum. Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1163-1166. doi: 10.4153/CJM-1977-116-0
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[1] 1. de Voie, R., Degree of approximation, in Approximation Theory II (Academic Press, New York, 1976), 117–162. Google Scholar

[2] 2. Freud, G. and Sharma, A., Some good sequences of interpolator y polynomials, Can. J. Math. 26 (1974), 233–246. Google Scholar

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