Geodesic
Recovery and integration of functions from the Korobovs anisotropic class
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 3, pp. 255-266

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The problem of approximate recovery of functions from the class $E^{r_1\dots,r_s}$ by means of an operator in the form of ал algebraic polynomial is considered. The algorithm based on application of the theory of divisors in cyclotomic fields of the algebraic integers is applied to determination of optimum factors of an operator. The problem of approximate integration of functions from the class $E^{r_1\dots,r_s}$ in the domain distinct from $[0,1]^s$ is considered. 
@article{SJVM_2002_5_3_a4,
     author = {I. M. Kovaleva},
     title = {Recovery and integration of functions from the {Korobovs} anisotropic class},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {255--266},
     publisher = {mathdoc},
     volume = {5},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2002_5_3_a4/}
}
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I. M. Kovaleva. Recovery and integration of functions from the Korobovs anisotropic class. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 3, pp. 255-266. http://geodesic.mathdoc.fr/item/SJVM_2002_5_3_a4/