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

• Date: 2016
• Main Authors: Babenko, V. F., Gun’ko, M. S., Бабенко, В. Ф., Гунько, М. С.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1862
• Journal Title: 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.