Direct and inverse approximation theorems in the Besicovitch-Museilak-Orlicz spaces of almost periodic functions
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| Format: | Preprint |
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2021
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| _version_ | 1866908562207277056 |
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| author | Chaichenko, Stanislav Shidlich, Andrii Shulyk, Tetiana |
| author_facet | Chaichenko, Stanislav Shidlich, Andrii Shulyk, Tetiana |
| contents | In terms of the best approximations of functions and generalized moduli of smoothness, direct and inverse approximation theorems are proved for Besicovitch almost periodic functions whose Fourier exponent sequences have a single limit point in infinity and their Orlicz norms are finite. Special attention is paid to the study of cases when the constants in these theorems are unimprovable. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2112_06664 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Direct and inverse approximation theorems in the Besicovitch-Museilak-Orlicz spaces of almost periodic functions Chaichenko, Stanislav Shidlich, Andrii Shulyk, Tetiana Classical Analysis and ODEs 42A75, 42A32, 41A17, 41A25, 26A15 In terms of the best approximations of functions and generalized moduli of smoothness, direct and inverse approximation theorems are proved for Besicovitch almost periodic functions whose Fourier exponent sequences have a single limit point in infinity and their Orlicz norms are finite. Special attention is paid to the study of cases when the constants in these theorems are unimprovable. |
| title | Direct and inverse approximation theorems in the Besicovitch-Museilak-Orlicz spaces of almost periodic functions |
| topic | Classical Analysis and ODEs 42A75, 42A32, 41A17, 41A25, 26A15 |
| url | https://arxiv.org/abs/2112.06664 |