Szego-Kolmogorov-Krein theorems on weighted trigonometrical approximation and Carleman-type relations

• Date: 1994
• Main Authors: Bart, V. A., Khavin, V. P., Барт, В. А., Хавин, В. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5773
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In view of the well-known Szego - Kolmogorov - Krein theorems on weighted approximation by the functions with semibounded spectrum (on a circle or a line), an efficient construction is suggested, which enables one to realize these approximations. It is based on relations similar to the Carleman to...