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

• 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
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.