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

• Date: 2016
• Main Authors: Babenko, V. V., Babenko, V. F., Polishchuk, M. V., Бабенко, В. В., Бабенко, В. Ф., Полищук, М. В.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1851
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.