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http://hdl.handle.net/123456789/14467
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DC Field | Value | Language |
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dc.contributor.author | Дмитришин, Леся Ігорівна | - |
dc.contributor.author | Дмитришин, Мар'ян Іванович | - |
dc.date.accessioned | 2022-12-26T14:00:13Z | - |
dc.date.available | 2022-12-26T14:00:13Z | - |
dc.date.issued | 2022 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/14467 | - |
dc.description.abstract | We establish the Bernstein and Jackson type inequalities with exact constants for estimations of best approximations by exponential type functions in Orlicz spaces LM(Rn). For this purpose, we use a special scale of approximation spaces Bsτ (M) that are interpolation spaces between the subspace EM of exponential type functions and the space LM(Rn). These approximation spaces are defined using a functional E (t, f ) that plays a similar role as the module of smoothness. The constants in obtained inequalities are expressed using a normalization factor Nϑ,q that is determined by the parameters τ and s of the approximation space Bsτ (M). | uk_UA |
dc.language.iso | en | uk_UA |
dc.subject | Bernstein and Jackson inequalities, best approximation, Orlicz space | uk_UA |
dc.title | Bernstein-Jackson-type inequalities with exact constants in Orlicz spaces | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Статті та тези (ЕФ) |
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5783-PDF file-17793-2-10-20221111.pdf | 109.16 kB | Adobe PDF | View/Open |
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