Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions
Časopis pro pěstování matematiky, Tome 97 (1972) no. 3, pp. 259-296

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CPM.1972.108675
Classification : 42A16
Přikryl, Petr. Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions. Časopis pro pěstování matematiky, Tome 97 (1972) no. 3, pp. 259-296. doi: 10.21136/CPM.1972.108675
@article{10_21136_CPM_1972_108675,
     author = {P\v{r}ikryl, Petr},
     title = {Optimal universal approximations of {Fourier} coefficients in spaces of continuous periodic functions},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {259--296},
     year = {1972},
     volume = {97},
     number = {3},
     doi = {10.21136/CPM.1972.108675},
     mrnumber = {0450876},
     zbl = {0238.42001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1972.108675/}
}
TY  - JOUR
AU  - Přikryl, Petr
TI  - Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions
JO  - Časopis pro pěstování matematiky
PY  - 1972
SP  - 259
EP  - 296
VL  - 97
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1972.108675/
DO  - 10.21136/CPM.1972.108675
LA  - en
ID  - 10_21136_CPM_1972_108675
ER  - 
%0 Journal Article
%A Přikryl, Petr
%T Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions
%J Časopis pro pěstování matematiky
%D 1972
%P 259-296
%V 97
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1972.108675/
%R 10.21136/CPM.1972.108675
%G en
%F 10_21136_CPM_1972_108675

[1] I. Babuška: Ober die optimale Berechnung der Fourierschen Koeffizienten, Aplikace matematiky II. pp. 113-122 (1966). | MR

[2] I. Babuška: Ober universal optimale Quadraturformeln. Aplikace matematiky I3, pp. 304 to 338, 388-404 (1968). | MR

[3] I. Babuška S. L. Sobolev: Oптимизация численных процессов. Aplikace matematiky 10, pp. 96-129(1965). | MR

[4] B. H. Kpылoв Л. Г. Кругликова: Cnpaвочная книга по численному гармоническому анализу. Hayка и техника, Mинск 1968.

[5] I. J. Schoenberg: Spline interpolation and best quadrature formulae. Bull. Am. Math. Soc. 70 (1964). | MR | Zbl

[6] K. Segeth: On universally optimal quadrature formulae involving values of derivatives of integrand. Czech. Math. J. 19 (94), pp. 605-675 (1969). | MR | Zbl

[7] H. J. Stetter: Numerical approximation of Fourier-transforms. Num. Math. 8, pp. 235-249 (1966). | MR | Zbl

Cité par Sources :