Approximation of the Classes H p Ω of Periodic Functions of Many Variables in the Space L p

Autor:	N. V. Derev’yanko
Rok vydání:	2014
Předmět:	Periodic function Discrete mathematics Pure mathematics Tensor product General Mathematics Sparse grid Algebra over a field Space (mathematics) Trigonometric polynomial Variable (mathematics) Mathematics
Zdroj:	Ukrainian Mathematical Journal. 66:707-718
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-014-0966-z
Popis:	We establish upper estimates for the approximation of the classes H Ω of periodic functions of many variables by polynomials constructed by using the system obtained as the tensor product of the systems of functions of one variable. These results are then used to establish the exact-order estimates of the orthoprojective widths for the classes H Ω in the space L p with p ∈ {1, ∞}.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::09211ff1d9a3ec1265233d62287a28f3 https://doi.org/10.1007/s11253-014-0966-z Zobrazit plný text záznamu Plný text ve formátu PDF