Optimal quadrature formulae and minimal monosplines in Lq
- 1 February 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 11 (1) , 48-56
- https://doi.org/10.1017/s1446788700005966
Abstract
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.Keywords
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