Nearly Comonotone Approximation of Periodic Functions
Suppose that a continuous 2re-periodic function f on the real axis changes its monotonicity at points Yi In this paper, for each n _ N, a trigonometric polynomial Pn of order cn is found such that： Pn has the same monotonicity as f, everywhere except, perhaps, the small intervals.
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| Veröffentlicht in: | Analysis in theory & applications 2017, Vol.33 (1), p.74-92 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Suppose that a continuous 2re-periodic function f on the real axis changes its monotonicity at points Yi In this paper, for each n _ N, a trigonometric polynomial Pn of order cn is found such that： Pn has the same monotonicity as f, everywhere except, perhaps, the small intervals. |
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| ISSN: | 1672-4070 1573-8175 |
| DOI: | 10.4208/ata.2017.v33.n1.7 |