LP Approximation by Reciprocals of Trigonometric and Algebraic Polynomials
Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 460-469
Voir la notice de l'article provenant de la source Cambridge University Press
We give an estimate for the error of Lp approximation by reciprocals of polynomials. These estimates are the analogues of the Jackson and Ditzian - Totik estimates for polynomial approximation.
Devore, Ronald A.; Leviatan, D.; Yu, Xiang Ming. LP Approximation by Reciprocals of Trigonometric and Algebraic Polynomials. Canadian mathematical bulletin, Tome 33 (1990) no. 4, pp. 460-469. doi: 10.4153/CMB-1990-075-1
@article{10_4153_CMB_1990_075_1,
author = {Devore, Ronald A. and Leviatan, D. and Yu, Xiang Ming},
title = {LP {Approximation} by {Reciprocals} of {Trigonometric} and {Algebraic} {Polynomials}},
journal = {Canadian mathematical bulletin},
pages = {460--469},
year = {1990},
volume = {33},
number = {4},
doi = {10.4153/CMB-1990-075-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-075-1/}
}
TY - JOUR AU - Devore, Ronald A. AU - Leviatan, D. AU - Yu, Xiang Ming TI - LP Approximation by Reciprocals of Trigonometric and Algebraic Polynomials JO - Canadian mathematical bulletin PY - 1990 SP - 460 EP - 469 VL - 33 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-075-1/ DO - 10.4153/CMB-1990-075-1 ID - 10_4153_CMB_1990_075_1 ER -
%0 Journal Article %A Devore, Ronald A. %A Leviatan, D. %A Yu, Xiang Ming %T LP Approximation by Reciprocals of Trigonometric and Algebraic Polynomials %J Canadian mathematical bulletin %D 1990 %P 460-469 %V 33 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-075-1/ %R 10.4153/CMB-1990-075-1 %F 10_4153_CMB_1990_075_1
[1] 1. Ditzian, Z. and Totik, V. Moduli of smoothness, Springer-Verlag, Berlin 1987. Google Scholar
[2] 2. Leviatan, D., Levin, A. L. and Saff, E. B. On approximation in the L-norm by reciprocals of polynomials, J. Approx. Theory 57 1989 322–331. Google Scholar
[3] 3. Lorentz, G. G. Approximation of functions, Holt Rinehart and Winston, New York, 1966. Google Scholar
Cité par Sources :