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A criterion for the solvability of the multiple interpolation problem by simple partial fractions

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Publication:483467
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DOI10.1134/S0037446614040041zbMath1317.41004MaRDI QIDQ483467

M. A. Komarov

Publication date: 17 December 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Hermite interpolationsimple partial fraction


Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)


Related Items (3)

Approximation by linear fractional transformations of simple partial fractions and their differences ⋮ Approximation by special differences of simplest fractions ⋮ Extremal and approximative properties of simple partial fractions




Cites Work

  • Chebyshev's alternance in the approximation of constants by simple partial fractions
  • Criterion for the appearance of singular nodes under interpolation by simple partial fractions
  • Interpolation of rational functions by simple partial fractions
  • Approximation by simple fractions
  • Approximation by simple partial fractions and their generalizations
  • An example of non-uniqueness of a simple partial fraction of the best uniform approximation




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