Direct and strong converse inequalities for approximation with Fejér means
We present upper and lower estimates of the error of approximation of periodic functions by Fejér means in the Lebesgue spaces L2πp{L}_{2{\pi }}^{p}. The estimates are given in terms of a K-functional for 1≤p≤∞1\le p\le \infty and in terms of the first modulus of continuity in the case 1<p<∞1...
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| Format: | Article |
| Language: | English |
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De Gruyter
2020-06-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0051/dema-2020-0051.xml?format=INT |