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Remarks on Quadrature Formulas
Journal of the Society for Industrial and Applied Mathematics, 1963openaire +1 more source
Discontinuous splines and quadrature formulae
A new definition of multiplicity for a null interval of the discontinuous spline is given and an estimate for the number of zeros and null intervals, taken with multiplicities, is obtained. On this basis it is proved that the quadrature formula with n simple knots optimal on the class \(W_ 1^{r+1}M\) is a unique optimal one among the general quadratureMalozëmov, V. N., Pevnyj, A. B.
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