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Optimal quadrature formulae and minimal monosplines in Lq
Published online by Cambridge University Press: 09 April 2009
Summary
The quadrature formula of order m using values of derivatives up to the m — 1st order with the best possible bound in is derived. Using certain properties of the polynomials minimal in Lq norm, it is proved that the optimal formula not use the derivatives of m — 1st order if m is even.
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- Research Article
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- Copyright © Australian Mathematical Society 1970
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