Geodesic
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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     author = {A. V. Gavrilov},
     title = {On optimal quadrature formulas},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2005_8_1_a5/}
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A. V. Gavrilov. On optimal quadrature formulas. Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 1, pp. 50-52. http://geodesic.mathdoc.fr/item/SJIM_2005_8_1_a5/