On optimal quadrature formulas
Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 1, pp. 50-52
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Quadrature formulas with free nodes which are optimal in the norm of a Banach space are studied. It is shown that it is impossible with some reasonable assumptions to increase the accuracy of such a formula by defining the partial derivatives of the integrable function at the nodes.
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