Lagrange formula for equally-spaced nodes
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§3.3(i) Lagrange Interpolation… ►The final expression in (3.3.1) is the Barycentric form of the Lagrange interpolation formula. … ►With an error term the Lagrange interpolation formula for is given by … ►
§3.3(ii) Lagrange Interpolation with Equally-Spaced Nodes… ►
§3.3(iv) Newton’s Interpolation Formula…
§3.4(i) Equally-Spaced Nodes►The Lagrange -point formula is … ►
Two-Point Formula… ►For formulas for derivatives with equally-spaced real nodes and based on Sinc approximations (§3.3(vi)), see Stenger (1993, §3.5). …
§3.5(v) Gauss Quadrature… ►
Gauss–Laguerre Formula… ►The nodes and weights of the 5-point complex Gauss quadrature formula (3.5.36) for are shown in Table 3.5.18. …
Martín et al. (1992) provides two simple formulas for approximating to graphical accuracy, one for , the other for .
Corless et al. (1992) describe a method of approximation based on subdividing into a triangular mesh, with values of , stored at the nodes. and are then computed from Taylor-series expansions centered at one of the nearest nodes. The Taylor coefficients are generated by recursion, starting from the stored values of , at the node. Similarly for , .