Approximation properties of periodic interpolation by translates of one function
Delvos, F.-J.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 28 (1994), p. 177-188 / Harvested from Numdam
Publié le : 1994-01-01
@article{M2AN_1994__28_2_177_0,
     author = {Delvos, F.-J.},
     title = {Approximation properties of periodic interpolation by translates of one function},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {28},
     year = {1994},
     pages = {177-188},
     mrnumber = {1267197},
     zbl = {0860.42003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1994__28_2_177_0}
}
Delvos, F.-J. Approximation properties of periodic interpolation by translates of one function. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 28 (1994) pp. 177-188. http://gdmltest.u-ga.fr/item/M2AN_1994__28_2_177_0/

[1] E. W. Cheney, 1992, Approximation by functions of nonclassical form. In Approximation Theory, Spline Functions and Applications, edited by S. P. Singh, NATO ASI Series C, 356, 1-18. | MR 1165960 | Zbl 0751.41001

[2] F.-J. Delvos, 1985, Interpolation of odd periodic functions on uniform meshes. In Delay Equations, Approximation, and Applications (Eds. G. Meinardus, G. Nürnberger), ISNM 74, Birkhäuser Verlag, Basel. | MR 899092 | Zbl 0578.41012

[3] F.-J. Delvos, 1987, Periodic interpolation on uniform meshes, Journal of Approximation Theory, 39, 71-80. | MR 906762 | Zbl 0664.41004

[4] F.-J. Delvos, 1985, Convergence of interpolation on by translation, In Alfred Haar Mémorial Volume, Colloquia Mathematica Societatis Janos Bolyai, 49 273-287. | MR 899538 | Zbl 0638.42003

[5] M. Golomb, 1968, Approximation by periodic spline interpolation on uniform meshes, Journal of Approximation Theory, 1, 26-65. | MR 233121 | Zbl 0185.30901

[6] Y. Katznelson, 1976, An introduction to harmonic analysis, Dover, New York. | MR 422992 | Zbl 0352.43001

[7] P.-J. Laurent, 1972, Approximation et optimisation. Hermann, Paris. | MR 467080 | Zbl 0238.90058

[8] F. Locher, 1981, Interpolation on uniform meshes by translates of one function and related attenuation factors, Mathematics of Computation, 37, 403-416. | MR 628704 | Zbl 0517.42004

[9] W. Quade and L. Collatz, 1938, Zur Interpolationstheorie der reellen periodischen Funktionen, Preuβische Akademie der Wissenschaften (Math. Phys. Klasse), 30, 383-429. | JFM 65.0543.01

[10] G. Tolstow, 1976, Fourier Series, Dover, New York.