On the convolution inverse of discrete sequences: Part II: Application in solving convolution equations

• Henryk Ugowski ^[1] ; Andrzej Dyka ^[2]
  1. [1] Department of Mathematics and Institute of Telecommunications, Technical University of Gdańsk, Polonia
  2. [2] Department of Mathematics and Institute of Telecommunications, Technical University of Gdańsk,
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 10, Nº 2, 1991, págs. 83-90
• Idioma: inglés
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• Resumen

  • In the first part of this paper subtitled ‘Theory and estimation of the truncation error’ we have examined the existence and unicity of the convolution inverse. In this part of the paper we discuss the application of convolution inverses for determining the solution to the Fredholm equation of the first kind. Particular attention is paid to the errors that arise from both the truncation of the infinite sequence that represents the inverse and the inaccuracy in input data.