2017
Том 69
№ 9

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

Romanyuk V. S.

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 Ω by Cauchy-type integrals along the rectifiable curve Γ = ∂Ω and can be analytically continued to Ω′ ⊃ Ω or to $\mathbb{C}$ .

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 2, pp 259-269.

Citation Example: Romanyuk V. S. Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I // Ukr. Mat. Zh. - 2001. - 53, № 2. - pp. 229-237.

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