• DocumentCode
    587539
  • Title

    Iterative algorithms for computation convolutions of atomic functions including new family cha;n(x)

  • Author

    Konovalov, Yaroslav Y.

  • Author_Institution
    Dept. of Higher Math., Bauman Moscow State Tech. Univ., Moscow, Russia
  • fYear
    2012
  • fDate
    May 28 2012-June 1 2012
  • Firstpage
    129
  • Lastpage
    133
  • Abstract
    Atomic functions are widely applied in interpolation, boundary-value problems, digital signal and image processing. In the report convolutions of atomic functions are discussed. It is shown that convolutions of atomic functions with same scale parameter are atomic functions too. Basing on this approach new family of atomic functions cha;n is presented. Iterative algorithms for computation of new functions are constructed.
  • Keywords
    differential equations; functional analysis; iterative methods; atomic function convolutions; cha,n(x); iterative algorithms; scale parameter; Accuracy; Approximation methods; Convolution; Diffraction; Equations; Iterative methods; Mathematical model;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2012
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4673-4418-0
  • Type

    conf

  • DOI
    10.1109/DD.2012.6402765
  • Filename
    6402765
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=587539