Approximation of some classes of set-valued periodic functions by generalized trigonometric polynomials

We generalize some known results on the best, best linear, and best one-sided approximations by trigonometric polynomials from the classes of $2 \pi$ -periodic functions presented in the form of convolutions to the case of classes of set-valued functions.

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Datum:2016
Hauptverfasser: Babenko, V. V., Babenko, V. F., Polishchuk, M. V., Бабенко, В. В., Бабенко, В. Ф., Полищук, М. В.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1851
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal