Приближение функций многих переменных классов HpΩ полиномами по системе ХаараApproximation of functions in severeal variables from classes HpΩ by polynomials with respect to the Haar system

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С. А. Стасюк

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Analysis Mathematica | 2009年 / 35卷

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摘要：

В работе изучаются вопросы приближения классов HpΩ функций многих переменных с заданной мажорантой смешанных модулей непрерывноşти. Рассматриважтся два вида приближений (линейное и нелинейное): классическое линейное приближение полиномами по системе Хаара с индексами в гиперболических крестах и наилчшее M-членное приближение полиномами по системе Хаара. Для соответствующих величин получены точные по порядку оценки.

引用

页码：257 / 271

页数：14

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