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

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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 \(\mathbb{C}\).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. S. Romanyuk

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  1. V. S. Romanyuk
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Romanyuk, V.S. Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I. Ukrainian Mathematical Journal 53, 259–269 (2001). https://doi.org/10.1023/A:1010417020575

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  • DOI: https://doi.org/10.1023/A:1010417020575

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