$\vert \varepsilon (z)\vert $-closeness of approximation.
Annette Sinclair
Source: Pacific J. Math. Volume 15, Number 4
(1965), 1405-1413.
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30.70
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102995295
Zentralblatt MATH identifier: 0142.03802
Mathematical Reviews number (MathSciNet): MR0190346
References
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[6] S.N. Mergelyan, On the representation of functions by series of polynomials onclosed sets, (Russian) Doklady Akademia Nauk S.S.S.R. 78 (1951), 405-408. Amer. Math. Soc. Translation, no. 85.
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[7] G. Mittag-Lefler, Sur la representationanalytique des fonctions monogenes uni- formes dJune variable independante, Acta Math. 3 (1884), 1-79.
[8] A. Sinclair, A general solution for a class of approximationproblems, Pacific J. Math. 8 (1958), 857-866.
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[9] A. Sinclair, Generalization of Runge's theorem to approximation by analytic functions, Trans. Amer. Math. Soc. 72 (1952), 148-164.
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[10] J.L. Walsh, Interpolation and approximation by rational functions in the complex domain, Amer. Math. Soc. Colloq. Publ. vol. 20, Providence, R.I., 1956.
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Zentralblatt MATH: 61.0315.01
Pacific Journal of Mathematics
