An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order
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Publication:557552
DOI10.1016/J.JAT.2005.02.008zbMath1075.41020OpenAlexW2055978052MaRDI QIDQ557552
Publication date: 30 June 2005
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2005.02.008
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Remainders in approximation formulas (41A80)
Related Items (8)
Enhancing the approximation order of local Shepard operators by Hermite polynomials ⋮ A novel numerical scheme for solving Burgers' equation ⋮ Point and differential \(C^1\) quasi-interpolation on three direction meshes ⋮ Unnamed Item ⋮ Modified Shepard's method by six-points local interpolant ⋮ Increasing the polynomial reproduction of a quasi-interpolation operator ⋮ Enhancement of the algebraic precision of a linear operator and consequences under positivity ⋮ A Novel Recursive Modification Framework for Enhancing Polynomial Reproduction Property of Interpolation Basis Functions
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