Lebesgue Constants (Lagrange Interpolation)

N.B. A detailed on-line essay by S. Finchwas the starting point for this entry.

Define the th Lebesgue constant for the Lagrange Interpolating Polynomial by

(1)

(2)

(3)

(4)

References

Erdös, P. ``Problems and Results on the Theory of Interpolation, II.'' Acta Math. Acad. Sci. Hungary 12, 235-244, 1961.

Finch, S. ``Favorite Mathematical Constants.'' http://www.mathsoft.com/asolve/constant/lbsg/lbsg.html

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