Geodesic
A Note on the Rate of Convergence of Hermite-Fejér Interpolation Polynomials*
Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 299-301

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

The Hermite-Fejér interpolation polynomial Hn [f] of degree ≤2n—1 is defined by (1) Where (2) are the zeroes of Chebyshev polynomial of first kind Tn(x)=cos n (arc cos x). 
Saxena, R. B. A Note on the Rate of Convergence of Hermite-Fejér Interpolation Polynomials*. Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 299-301. doi: 10.4153/CMB-1974-060-1
@article{10_4153_CMB_1974_060_1,
     author = {Saxena, R. B.},
     title = {A {Note} on the {Rate} of {Convergence} of {Hermite-Fej\'er} {Interpolation} {Polynomials*}},
     journal = {Canadian mathematical bulletin},
     pages = {299--301},
     year = {1974},
     volume = {17},
     number = {2},
     doi = {10.4153/CMB-1974-060-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-060-1/}
}
TY  - JOUR
AU  - Saxena, R. B.
TI  - A Note on the Rate of Convergence of Hermite-Fejér Interpolation Polynomials*
JO  - Canadian mathematical bulletin
PY  - 1974
SP  - 299
EP  - 301
VL  - 17
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-060-1/
DO  - 10.4153/CMB-1974-060-1
ID  - 10_4153_CMB_1974_060_1
ER  - 
%0 Journal Article
%A Saxena, R. B.
%T A Note on the Rate of Convergence of Hermite-Fejér Interpolation Polynomials*
%J Canadian mathematical bulletin
%D 1974
%P 299-301
%V 17
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-060-1/
%R 10.4153/CMB-1974-060-1
%F 10_4153_CMB_1974_060_1

[1] 1. Bojanic, R., A note on the precision of interpolation by Hermite-Fejér polynomials, Proceedings of the Conference on constructive theory of functions. Akadémiai Kiadό, Budapest (1972), pp. 69-76. Google Scholar

[2] 2. Fejér, L., Über Interpolation, Göttinger Nachrichten(1916), pp. 66-91. Google Scholar

[3] 3. Kis, O., Remark on the order of convergence of Lagrange interpolation, Annales Univ. Sci., Budapest, 11 (1968), pp. 27-40. Google Scholar

[4] 4. Moldvan, E., Observatii aspura unor procedee de inter polare generalizate, Acad. Rep. Pop. Romine, Bui. Stil, Sect. Mat. Fiz. 6 (1954), pp. 472-482 (Romanian, French and Russian summaries). Google Scholar

[5] 5. Shisha, O. and Mond, B., The rapidity of convergence of the Hermite-Fejér approximation to functions of one or several variables, Proc. Amer. Math. Soc. (1966), pp. 1269-1276. Google Scholar

[6] 6. Vértesi, P. O. H., On the convergence of Hermite-Fejér interpolation, Acta. Math. Acad. Sci. Hungar. 22 (1-2), (1971), pp. 151-158. Google Scholar

Cité par Sources :