This paper considers the approximation of a monomial $x^n$ over the interval $[-1,1]$ by a lower-degree polynomial . The error in the approximationin the supremum norm has an exact expression with an interesting probabilisticinterpretation . We use this interpretation along with concentrationinequalities to develop a useful upper bound for the error .

Author(s) : Arvind K. Saibaba

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Keywords : error - - interesting - chebyshev - monomials -

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