Geodesic
The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1080-1090

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A power-law order of convergence to zero of a sequence of norms of error functionals for minimal and almost minimal cubature formulas is established. Functionals act on multidimensional periodic Sobolev spaces, including on spaces with fractional smoothness.
Keywords: cubature formulas, minimal and almost minimal cubature formulas, the convergence order, error functionals, extremal functions, embedding constants. 
V. L. Vaskevich. The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 1080-1090. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a135/
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