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Necessary and sufficient conditions for the convergence of extended interpolation processes of higher order in the \(L_ p\) metric

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Publication:1206284
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DOI10.1007/BF00050895zbMath0765.41002MaRDI QIDQ1206284

D. L. Berman

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

interpolation process


Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)





Cites Work

  • Unnamed Item
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  • Period, index and potential \(\text Ш\)
  • A remark to the extended Hermite-Fejér type interpolation of higher order
  • Quasi-Hermite-Fejer type interpolation of higher order
  • Necessary and sufficient conditions for the convergence of an extended Hermite-Fejér interpolation process in the metric of \(L_ p\)
  • An application of the classical orthogonal polynomials to the theory of interpolation




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