Exact order of approximation of periodic functions by one nonclassical method of summation of Fourier series
By using an exact estimate for approximation by known trigonometric polynomials, we strengthen a Jackson-type theorem. Moreover, we determine the exact order of approximation of some periodic functions by these polynomials. For this purpose, we introduce a special modulus of smoothness.
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| Date: | 2012 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2012
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2631 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |