Аннотация:
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.
Ключевые слова:cubature formulas, minimal and almost minimal cubature formulas, the convergence order, error functionals, extremal functions, embedding constants.