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 $p_{n} [f] = p_{n} \in Π_{n}$ . (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. $p_{n} [α f + β g] =$

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Lebesgue constant of a linear interpolant

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Bibliography

(1) - BAKER (G.A.) Jr., GRAVES MORRIS (P.R.) - Padé Approximants, 2 ^nd ed - Cambridge University Press (1966).
(2) - BALTENSPERGER (R.) - Some results on linear rational trigonometric interpolation -...

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