Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I

• Date: 2001
• Main Authors: Romanyuk, V. S., Романюк, В. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4238
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the Banach space of functions analytic in a Jordan domain \(\Omega \subset \mathbb{C}\) , we establish order estimates for the Kolmogorov widths of certain classes of functions that can be represented in Ω by Cauchy-type integrals along the rectifiable curve Γ = ∂Ω and can be analytically cont...