Geodesic
On Comonotone Approximation
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 220-224

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

Jackson type theorems are obtained for the comonotone approximation of piecewise monotone functions by polynomials.
DOI : 10.4153/CMB-1983-034-0
Mots-clés : Primary, 41A29, Secondary 41A10, 41A17 
Beatson, R. K.; Leviatan, D. On Comonotone Approximation. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 220-224. doi: 10.4153/CMB-1983-034-0
@article{10_4153_CMB_1983_034_0,
     author = {Beatson, R. K. and Leviatan, D.},
     title = {On {Comonotone} {Approximation}},
     journal = {Canadian mathematical bulletin},
     pages = {220--224},
     year = {1983},
     volume = {26},
     number = {2},
     doi = {10.4153/CMB-1983-034-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-034-0/}
}
TY  - JOUR
AU  - Beatson, R. K.
AU  - Leviatan, D.
TI  - On Comonotone Approximation
JO  - Canadian mathematical bulletin
PY  - 1983
SP  - 220
EP  - 224
VL  - 26
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-034-0/
DO  - 10.4153/CMB-1983-034-0
ID  - 10_4153_CMB_1983_034_0
ER  - 
%0 Journal Article
%A Beatson, R. K.
%A Leviatan, D.
%T On Comonotone Approximation
%J Canadian mathematical bulletin
%D 1983
%P 220-224
%V 26
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-034-0/
%R 10.4153/CMB-1983-034-0
%F 10_4153_CMB_1983_034_0

[1] 1. Beatson, R. K., Monotone and convex approximation by splines: Error estimates and a curve fitting algorithm, SIAM J. Numer. Anal, (to appear). Google Scholar

[2] 2. Chui, C. K., Smith, P. W. and Ward, J. D., Degree of Lp approximation by monotone splines, SIAM J. Math. Anal. 11 (1980), 436–447. Google Scholar

[3] 3. DeVore, R. A., Degree of monotone approximation, Linear Operators and Approximation II, ISNM 25 P. L. Butzer and B. Sz. Nagy ?d., Birkhauser Verlag Basel, 1974, 337–351. Google Scholar

[4] 4. DeVore, R. A., Monotone approximation by splines, SIAM J. Math. Anal. 8 (1977), 891–905. Google Scholar

[5] 5. DeVore, R. A., Monotone approximation by polynomials, SIAM J. Math. Anal. 8 (1977), 906–921. Google Scholar

[6] 6. Iliev, G. L., Exact estimates for partially monotone approximation, Anal. Math. 4 (1978), 181–197. Google Scholar

[7] 7. Leviatan, D. and Mhaskar, N. H., Comonotone approximation by splines of piecewise monotone functions, J. Approx. Theory (to appear). Google Scholar

[8] 8. Newman, D. J., Efficient comonotone approximation, J. Approx. Theory 25 (1979), 189–192. Google Scholar

Cité par Sources :