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
@article{10_4153_CJM_1977_116_0,
author = {Freud, G. and Sharma, A.},
title = {Some {Good} {Sequences} of {Interpolatory} {Polynomials:} {Addendum}},
journal = {Canadian journal of mathematics},
pages = {1163--1166},
year = {1977},
volume = {29},
number = {6},
doi = {10.4153/CJM-1977-116-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-116-0/}
}
TY - JOUR AU - Freud, G. AU - Sharma, A. TI - Some Good Sequences of Interpolatory Polynomials: Addendum JO - Canadian journal of mathematics PY - 1977 SP - 1163 EP - 1166 VL - 29 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-116-0/ DO - 10.4153/CJM-1977-116-0 ID - 10_4153_CJM_1977_116_0 ER -
[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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