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Locher, F.

Interpolation on uniform meshes by the translates of one function and related attenuation factors. (English) Zbl 0517.42004

Math. Comput. 37, 403-416 (1981).
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Cited in 3 Reviews
Cited in 17 Documents

MSC:

42A10 Trigonometric approximation

Keywords:

translates; discrete Fourier coefficients; interpolation matrix; interpolating function; attenuation factors

Citations:

Zbl 0392.41018; Zbl 0185.309
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\textit{F. Locher}, Math. Comput. 37, 403--416 (1981; Zbl 0517.42004)
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References:

[1] Stefan Bergman, The kernel function and conformal mapping, Second, revised edition, American Mathematical Society, Providence, R.I., 1970. Mathematical Surveys, No. V. · Zbl 0473.30006
[2] L. Collatz & W. Quade, ”Zur Interpolationstheorie der reellen periodischen Funktionen,” S.-B. Preuss. Akad. Wiss. Phys.-Math. Kl., v. 30, 1938, pp. 383-429. · JFM 65.0543.01
[3] Hartmut Ehlich, Untersuchungen zur numerischen Fourieranalyse, Math. Z. 91 (1966), 380 – 420 (German). · Zbl 0143.38902
[4] Walter Gautschi, Attenuation factors in practical Fourier analysis, Numer. Math. 18 (1971/72), 373 – 400. · Zbl 0231.65101
[5] Michael Golomb, Approximation by periodic spline interpolants on uniform meshes, J. Approximation Theory 1 (1968), 26 – 65. · Zbl 0185.30901
[6] Michael Golomb, Interpolation operators as optimal recovery schemes for classes of analytic functions, Optimal estimation in approximation theory (Proc. Internat. Sympos., Freudenstadt, 1976) Plenum, New York, 1977, pp. 93 – 138.
[7] Peter Henrici, Fast Fourier methods in computational complex analysis, SIAM Rev. 21 (1979), no. 4, 481 – 527. · Zbl 0416.65022
[8] W. Knauff and R. Kreß, Optimale Approximation linearer Funktionale auf periodischen Funktionen, Numer. Math. 22 (1973/74), 187 – 205 (German, with English summary). · Zbl 0269.65012
[9] Rainer Kreß, Zur numerischen Integration periodischer Funktionen nach der Rechteckregel, Numer. Math. 20 (1972/73), 87 – 92 (German, with English summary). · Zbl 0231.65026
[10] Herbert Meschkowski, Reihenentwicklungen in der mathematischen Physik, Bibliographisches Institut, Mannheim, 1963 (German). · Zbl 0121.29702
[11] Arnold Schönhage, Approximationstheorie, Walter de Gruyter & Co., Berlin-New York, 1971 (German). · Zbl 0212.41501
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