Restrictions for order of q-monotone approximation of periodic functions
A continuous periodic $q$-monotone function, $q=3,...,$ is constructed for which if it is approximated with $q$-monotone polynomials the Jackson-Stechkin estimate with the modulus of smoothness of order $\ge q+2$ is not valid (in contrast with the approximation without restrictions).
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| Date: | 2015 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2015
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/292 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
| Download file: |  |