Estimates for deviation of integral operators in semilinear metric spaces and their applications

• Date: 2022
• Main Authors: Babenko , V. F., Babenko , V. V., Kovalenko , O. V., Parfinovych , N. V., Бабенко, В. Ф., Бабенко, В. В., Коваленко, O. В., Парфінович, Н. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7172
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.5 In this paper, we develop the theory of approximations in functional semilinear metric spaces, which allows us to consider classes of multi- and fuzzy-valued functions, as well as classes of Banach space-valued functions including classes of random processes. For integral operators on clas...