Метод зрізки в задачах чисельного підсумовування і диференціювання
The problems of numerical summation and differentiation of functions with finite smoothness are investigated. In order to ensure stabil- ity of approximations different variants of the truncation method are con- sidered. For the constructed methods, error estimates are found in integral and uniform met...
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| Date: | 2022 |
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| Main Authors: | , , , , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/501 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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Transactions of Institute of Mathematics of NAS of Ukraine| Summary: | The problems of numerical summation and differentiation of functions with finite smoothness are investigated. In order to ensure stabil- ity of approximations different variants of the truncation method are con- sidered. For the constructed methods, error estimates are found in integral and uniform metrics. Moreover the volume of the used Fourier coefficients is calculated. |
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