• DocumentCode
    928685
  • Title

    Comments on "Proof of Weierstrass approximation theory using band-limited functions"

  • Author

    Giardina, C.R.

  • Volume
    61
  • Issue
    10
  • fYear
    1973
  • Firstpage
    1496
  • Lastpage
    1497
  • Abstract
    A simple proof of the Weierstrass approximation theorem is given which uses only elementary Fourier series results. This is an alternative to a recent proof of the subject theorem by Giardina and Chirlian, where Fourier integrals and band-limited functions were employed.
  • Keywords
    Approximation methods; Chebyshev approximation; Convergence; Fourier series; Fourier transforms; Numerical analysis; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1973.9299
  • Filename
    1451229