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Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I
Authors:Romanyuk  V S
Institution:(1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
Abstract: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 OHgr by Cauchy-type integrals along the rectifiable curve Gamma = partOHgr and can be analytically continued to OHgrprime sup OHgr or to 
$$\mathbb{C}$$
.
Keywords:
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