On the bivariate Shepard-Lidstone operators
From MaRDI portal
Publication:2428090
DOI10.1016/j.cam.2011.10.001zbMath1239.41001arXiv1406.5962OpenAlexW2162677194MaRDI QIDQ2428090
F. Di Tommaso, Francesco Dell'Accio, Rosanna Caira
Publication date: 24 April 2012
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.5962
Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)
Related Items (14)
Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual ⋮ Enhancing the approximation order of local Shepard operators by Hermite polynomials ⋮ Complementary Lidstone interpolation on scattered data sets ⋮ Max-product Shepard operators based on multivariable Taylor polynomials ⋮ Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds ⋮ Reconstruction of a function from Hermite-Birkhoff data ⋮ Fast computation of triangular Shepard interpolants ⋮ On the linearization methods for univariate Birkhoff rational interpolation ⋮ Bivariate Shepard-Bernoulli operators ⋮ A mixed Lagrange-Bernoulli tensor product expansion on the rectangle with applications ⋮ Complete Hermite-Birkhoff interpolation on scattered data by combined Shepard operators ⋮ On the hexagonal Shepard method ⋮ Modified Shepard's method by six-points local interpolant ⋮ A numerical algorithm for multidimensional modeling of scattered data points
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complementary Lidstone interpolation and boundary value problems
- Piecewise complementary Lidstone interpolation and error inequalities
- An algebraic approach to Lidstone polynomials
- A triangle-based \(C^ 1\) interpolation method
- Explicit error estimates for quintic and biquintic spline interpolation. II
- Double positive solutions of \((n,p)\) boundary value problems for higher order difference equations
- Lidstone approximation on the triangle
- Explicit polynomial expansions of regular real functions by means of even order Bernoulli polynomials and boundary values
- Polynomial approximation of \(C^M\) functions by means of boundary values and applications: A survey
- Shepard--Bernoulli operators
- Rate of Convergence of Shepard's Global Interpolation Formula
- Continuity of the Birkhoff Interpolation
- Shepard's Method of "Metric Interpolation" to Bivariate and Multivariate Interpolation
- Algorithm 792
- On Lidstone's Series and Two-Point Expansions of Analytic Functions
- Expansions over a simplex of real functions by means of Bernoulli polynomials
This page was built for publication: On the bivariate Shepard-Lidstone operators