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Math Help - interpolation help

  1. #1
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    interpolation help

    suppose cos x is to be approximated by an interpolating polynomial of degree n using n+1 equally spaced nodes in interval [0,1].How accurate is the approximation(express in terms of n)

    here i took h=1/n
    but i know the formulas for maximum error bound of linear and quadratic interpolation now the polynomial of degree n is creating problem

    please help
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  2. #2
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    Re: interpolation help

    have a look at this

    It even uses the cosine as an example.
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  3. #3
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    Re: interpolation help

    But here we have to use newton divided difference formula for calculating error bound
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