An iterative modification of Shepard-Bernoulli operator

DOI10.1007/s00025-015-0498-3zbMath1339.41002OpenAlexW1867891783MaRDI QIDQ287301

Teodora Cătinaş

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-015-0498-3

zbMATH Keywords

Bernoulli operatorinterpolation of scattered dataiterative multiscale methodShepard operator

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Uses Software

• QSHEP3D

Cites Work

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• Error estimates for modified local Shepard's interpolation formula
• The bivariate Shepard operator of Bernoulli type
• A triangle-based \(C^ 1\) interpolation method
• Shepard operators of Birkhoff-type
• Shepard--Bernoulli operators
• Rate of Convergence of Shepard's Global Interpolation Formula
• Multivariate interpolation of large sets of scattered data
• Smooth interpolation of large sets of scattered data
• Scattered Data Interpolation: Tests of Some Method
• A New Fast Iterative Method for Interpolation of Multivariate Scattered Data
• Expansion over a rectangle of real functions in Bernoulli polynomials and applications

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