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Weighted arithmetic means possessing the interpolation property

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Publication:1124067
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DOI10.1007/BF02575944zbMath0678.41003MaRDI QIDQ1124067

Vittoria Demichelis, Renata Besenghi, Giampietro Allasia

Publication date: 1988

Published in: Calcolo (Search for Journal in Brave)


zbMATH Keywords

interpolation propertyweighted arithmetic meansHermite-Fejér formulaShepard formula


Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by positive operators (41A36)


Related Items

Estimates of the Shepard interpolatory procedure ⋮ A method for uniform approximation under interpolation constraints ⋮ Graphic applications of some interpolating weighted mean functions ⋮ Piecewise weighted mean functions and histograms ⋮ Multivariable interpolation by weighted arithmetic means at arbitrary points



Cites Work

  • Polynomial Interpolation: Lagrange versus Newton
  • OPTIMAL UNIVERSALLY STABLE INTERPOLATION
  • Rate of Convergence of Shepard's Global Interpolation Formula
  • On an interpolatory operator and its saturation
  • Shepard's Method of "Metric Interpolation" to Bivariate and Multivariate Interpolation
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