On continual interpolation nodes for operators in linear topological spaces

• Date: 2010
• Main Authors: Kashpur, O. F., Makarov, V. L., Khlobystov, V. V., Кашпур, О. Ф., Макаров, В. Л., Хлобистов, В. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2883
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions for the existence of continual nodes for interpolation polynomials of the integral type. This result is generalized to the case of multivariable operators. Some examples of these interpolants are analyzed.