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Inclusion results for convolution submethods

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  • Jeffrey A. Osikiewicz
  • Mohammad K. Khan

Abstract

If B is a summability matrix, then the submethod B λ is the matrix obtained by deleting a set of rows from the matrix B . Comparisons between Euler-Knopp submethods and the Borel summability method are made. Also, an equivalence result for convolution submethods is established. This result will necessarily apply to the submethods of the Euler-Knopp, Taylor, Meyer-König, and Borel matrix summability methods.

Suggested Citation

  • Jeffrey A. Osikiewicz & Mohammad K. Khan, 2004. "Inclusion results for convolution submethods," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:753528
    DOI: 10.1155/S0161171204301511
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