Journal of applied mathematics & informatics

  • 제4권2호
  • /
  • Pages.529-534
  • /
  • 1997
  • /
  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

ON GIBBS CONSTANT FOR THE SHANNON WAVELET EXPANSION

  • 발행 : 1997.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

Even though the Shannon wavelet is a prototype of wavelets are assumed to have. By providing a sufficient condition to compute the size of Gibbs phe-nomenon for the Shannon wavelet series we can see the overshoot is propotional to the jump at discontinuity. By comparing it with that of the Fourier series we also that these two have exactly the same Gibbs constant.

키워드

참고문헌

  1. The Am. Math. Month A Gibbs phenomenon for precewise linear approximation J.Foster;F.B. Richard
  2. Nature v.59 Letter to the editor J.W. Gibbs
  3. App. Comp. Harmon. Anal. v.3 Gibbs' phenomenon for wavelets S.Kelly
  4. Nature v.58 Letter to the editor A.A. Michelson
  5. J. Approx. Theory v.66 A Gibbs phenomenon for spline functions F.B. Richard
  6. J. Approx. Theory v.84 On the Gibbs phenomenon for wavelet expansions H.-T. Shim;H. Volkmer
  7. Wavelets and Other Orthogonal Systems with Applications G. C. Walter