For example:L[x0,x1,...,xn;f+g]=?=L[x0,x1,...,xn;f] + L[x0,x1,...,xn;g] where f and g are ordinary functions, not neccessarily polynomials......
2026-02-22 19:01:10.1771786870
Can I decompose the Lagrange interpolating polynomial of the sum of 2 functions into 2 separate Lagrange polynomials?
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If $L[x_0, \ldots, x_n; f]$ means a polynomial of degree $ \le n$ that has the same values as $f$ at $x_0, \ldots, x_n$, then yes, this is true.