The bivariate Shepard operator of Bernoulli type

DOI10.1007/s10092-007-0136-xzbMath1142.41001OpenAlexW2105580514MaRDI QIDQ931062

Teodora Cătinaş

Publication date: 24 June 2008

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-007-0136-x

zbMATH Keywords

error estimationBernoulli operatorinterpolation of scattered dataShepard operator

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Remainders in approximation formulas (41A80)

Related Items

An iterative modification of Shepard-Bernoulli operator ⋮ Max-product Shepard operators based on multivariable Taylor polynomials ⋮ A unified enrichment approach of the standard three-node triangular element ⋮ A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order ⋮ Fast and accurate scattered Hermite interpolation by triangular Shepard operators ⋮ Bivariate Shepard-Bernoulli operators ⋮ Bivariate quasi-interpolation operator of Bernoulli type ⋮ On the hexagonal Shepard method ⋮ On the improvement of the triangular Shepard method by non conformal polynomial elements

Uses Software

• QSHEP3D

Cites Work

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• Multivariate interpolation of large sets of scattered data
• Smooth interpolation of large sets of scattered data
• Scattered Data Interpolation: Tests of Some Method
• The Remainder of Certain Linear Approximation Formulas in Two Variables
• Expansion over a rectangle of real functions in Bernoulli polynomials and applications