Dimeters in $L_2$ classes of differentiated functions determined by continuity moduli of higher orders
Sharp inequalities are obtained in the space $L_2$, connecting the best approximations of differentiable $2\pi$-periodic functions by trigonometric polynomials with integrals containing the higher-order moduli of continuity of the derivatives of these functions. The Kolmogorov widths of certain clas...
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| Date: | 1991 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1991
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9317 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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