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3. Lebesgue constant of a linear interpolant
Consider the application I which, for a fixed set of given nodes, associates any continuous function f with the same interpolant, for example
. (We'll use the standard notation Π
n
for the set of polynomials of degree n at most.) Here this application is linear, i.e.
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Lebesgue constant of a linear interpolant
Best polynomial approximation
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