Lebesgue constants in polynomial interpolation

@inproceedings{Smith2007LebesgueCI,
  title={Lebesgue constants in polynomial interpolation},
  author={Simon Graham Jeremy Smith},
  year={2007}
}
Lagrange interpolation is a classical method for approximating a continuous function by a polynomial that agrees with the function at a number of chosen points (the “nodes”). However, the accuracy of the approximation is greatly influenced by the location of these nodes. Now, a useful way to measure a given set of nodes to determine whether its Lagrange polynomials are likely to provide good approximations is by means of the Lebesgue constant. In this paper a brief survey of methods and results… CONTINUE READING

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