Lagrange Polynomial Interpolation Error Bound Example
Using the three nodes x0=1, x1=2, and x2=4, the Lagrange interpolating polynomial for the example function f(x) = 1/x is P2(x) = x^2/8 - 7x/8 + 7/4. What is a guaranteed bound for the absolute error in using P2(x) to approximate f(x) over the closed and bounded interval [1,4]? 🔴 Burden, Faires, Burden "Numerical Analysis": https://amzn.to/3DBvCWn
Numerical Analysis, Class 13A
#LagrangeTheorem #LagrangeInterpolation #LagrangePolynomial #PolynomialInterpolation #polynomials #polynomial
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