Best one-sided approximation on the average for the classes of differentiable functions by algebraic polynomials

We establish the best asymptotic one-sided approximation on the average for $r$ -differentiable functions from the class $W_{∞}^r$ where r is even, by algebraic polynomials.

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Datum:2017
Hauptverfasser: Sedunova, V. V., Сєдунова, В. В.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1687
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:We establish the best asymptotic one-sided approximation on the average for $r$ -differentiable functions from the class $W_{∞}^r$ where r is even, by algebraic polynomials.