Estimates of the best orthogonal trigonometric approximations of the generalized multidimensional analogues of the Bernoulli kernels and classes $L^\psi_{\beta,1}$ in the space $L_q$
We obtain order estimates of the best orthogonal trigonometric approximation of the functions $D^\psi_{\beta}$ in the space $L_q$, with $1<q<\infty$. These functions are generalized multidimensional analogs of the Bernoulli kernels. The results obtained are applied to establish...
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| Date: | 2016 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2016
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/225 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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