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) |
increases. Erdös (1961) provedthat there exists a Positive constant such that | (3) |
. Erdös (1961) further showed that | (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
- Multiply Perfect Number
- Multisection
- Multivalued Function
- Multivariate Analysis
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- Mu Molecule
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- Mutation
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