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Title: Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions (English)
Author: Přikryl, Petr
Language: English
Journal: Časopis pro pěstování matematiky
ISSN: 0528-2195
Volume: 97
Issue: 3
Year: 1972
Pages: 259-296
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Category: math
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MSC: 42A16
idZBL: Zbl 0238.42001
idMR: MR0450876
DOI: 10.21136/CPM.1972.108675
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Date available: 2009-09-23T08:22:59Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/108675
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Reference: [1] I. Babuška: Ober die optimale Berechnung der Fourierschen Koeffizienten, Aplikace matematiky II.pp. 113-122 (1966). MR 0213071
Reference: [2] I. Babuška: Ober universal optimale Quadraturformeln.Aplikace matematiky I3, pp. 304 to 338, 388-404 (1968). MR 0244680
Reference: [3] I. Babuška S. L. Sobolev: Oптимизация численных процессов.Aplikace matematiky 10, pp. 96-129(1965). MR 0191072
Reference: [4] B. H. Kpылoв Л. Г. Кругликова: Cnpaвочная книга по численному гармоническому анализу.Hayка и техника, Mинск 1968.
Reference: [5] I. J. Schoenberg: Spline interpolation and best quadrature formulae.Bull. Am. Math. Soc. 70 (1964). Zbl 0136.36202, MR 0157157
Reference: [6] K. Segeth: On universally optimal quadrature formulae involving values of derivatives of integrand.Czech. Math. J. 19 (94), pp. 605-675 (1969). Zbl 0188.13203, MR 0260177
Reference: [7] H. J. Stetter: Numerical approximation of Fourier-transforms.Num. Math. 8, pp. 235-249 (1966). Zbl 0163.39503, MR 0198716
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