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A note on numerical Fourier analysis and uniform approximation on cubes

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Part of the Lecture Notes in Mathematics book series (LNM,volume 571)

Keywords

  • Fourier Coefficient
  • Uniform Approximation
  • Discretization Error
  • Multivariate Case
  • Algebraic Polynomial

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References

  1. Ehlich, H., Untersuchungen zur numerischen Fourier-Analyse. Math.Z. 91 (1966), 380–420.

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  2. Gordon, W.J., Blending function methods of bivariate and multivariate interpolation and approximation. SIAM J. Numer. Anal. 8 (1971), 158–177.

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  3. Jones, W.B. and G. Hardy, Accelerating convergence of trigonometric approximations. Math. of Comp. 24 (1970), 547–560.

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  4. Lanczos, C., Evaluation of noisy data. SIAM J. Numer.Anal. 1 (1964), 76–85.

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  5. Lanczos, C., Discourse on Fourier series. Hafner, New York, 1966.

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  6. Lyness, J.N., Computational techniques based on the Lanczos representation. Math. of Comp. 28 (1974), 81–123.

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  7. Stein, E.M. and G. Weiss, Introduction to Fourier analysis on euclidean spaces. Princeton University Press, Princeton, NJ, 1971.

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© 1977 Springer-Verlag Berlin · Heidelberg

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Jetter, K., Locher, F. (1977). A note on numerical Fourier analysis and uniform approximation on cubes. In: Schempp, W., Zeller, K. (eds) Constructive Theory of Functions of Several Variables. Lecture Notes in Mathematics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086568

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  • DOI: https://doi.org/10.1007/BFb0086568

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08069-5

  • Online ISBN: 978-3-540-37496-1

  • eBook Packages: Springer Book Archive