On optimal quadrature formulas
A. V. GavrilovInstitute of Computational Mathematics and Mathematical Geophysics, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia
2007en
ABI
Abstract
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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Cited by 80 references