On the optimal reconstruction of the convolution of $n$ functions according to the linear information

We determine the optimal linear information and the optimal method of its application to the recovery of convolution of $n$ functions on some convex and centrally symmetric classes of $2\pi$ -periodic functions.

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Bibliographische Detailangaben
Datum:2016
Hauptverfasser: Babenko, V. F., Gun’ko, M. S., Бабенко, В. Ф., Гунько, М. С.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1862
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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 determine the optimal linear information and the optimal method of its application to the recovery of convolution of $n$ functions on some convex and centrally symmetric classes of $2\pi$ -periodic functions.