期刊
SBORNIK MATHEMATICS
卷 207, 期 9, 页码 1236-1266出版社
TURPION LTD
DOI: 10.1070/SM8448
关键词
rational approximations; Pade approximants; orthogonal polynomials; equilibrium distributions; stationary compact set; S-property
类别
The Gonchar-Stahl rho(2)-theorem characterizes the rate of convergence of best uniform (Chebyshev) rational approximations (with free poles) for one basic class of analytic functions. The theorem itself, modifications and generalizations of it, methods involved in its proof and other related details constitute an important subfield in the theory of rational approximations of analytic functions and complex analysis. This paper briefly outlines the essentials of the subfield. The fundamental contributions of A. A. Gonchar and H. Stahl are at the heart of the exposition.
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