Approximation of functions by asymmetric two-point Hermite polynomials and its optimization

DOI10.1134/S0965542515120155zbMath1347.41010OpenAlexW2203191039MaRDI QIDQ266085

V. V. Shustov

Publication date: 13 April 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542515120155

zbMATH Keywords

Taylor polynomialapproximation error estimateapproximation error minimizationasymmetric expansion of a functionasymmetric two-point Hermite polynomialHermite interpolating polynomial

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Uses Software

• UNCMND
• pchip

Cites Work

• On the instability of symmetric formulas for numerical differentiation and integration
• Approximation of functions by two-point Hermite interpolating polynomials
• A Generalization of Hermite's Interpolation Formula
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