On interpolation approximation of differentiable operators in a Hilbert space

• Date: 2006
• Main Authors: Popovicheva, T. N., Khlobystov, V. V., Поповичева, Т. Н., Хлобыстов, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2006
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3473
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In a Hilbert space, we construct an interpolation approximation of the Taylor polynomial for differentiable operators. By using this approximation, we obtain estimates of accuracy for analytic operators that strengthen previously known results and for operators containing finitely many Fréchet deriv...