Extensions of D. Jackson’s theorem on best complex polynomial mean approximations
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- by J. L. Walsh and E. B. Saff PDF
- Trans. Amer. Math. Soc. 138 (1969), 61-69 Request permission
References
- Dunham Jackson, On certain problems of approximation in the complex domain, Bull. Amer. Math. Soc. 36 (1930), no. 12, 851–857. MR 1562068, DOI 10.1090/S0002-9904-1930-05078-8
- W. E. Sewell, Degree of Approximation by Polynomials in the Complex Domain, Annals of Mathematics Studies, No. 9, Princeton University Press, Princeton, N. J., 1942. MR 0007054
- J. L. Walsh, Approximation by polynomials: Uniform convergence as implied by mean convergence. III, Proc. Nat. Acad. Sci. U.S.A. 56 (1966), 1406–1408. MR 213584, DOI 10.1073/pnas.56.5.1406
- J. L. Walsh, Approximation by polynomials: Uniform convergence as implied by mean convergence, Proc. Nat. Acad. Sci. U.S.A. 55 (1966), 20–25. MR 188453, DOI 10.1073/pnas.55.1.20 —, Interpolation and approximation, Amer. Math. Soc. Colloq. Publ., Vol. 20, Amer. Math. Soc., Providence, R. I., 1935.
- J. L. Walsh, Approximation by bounded analytic functions, Mémor. Sci. Math., Fasc. 144, Gauthier-Villars, Paris, 1960. MR 0119001
- J. L. Walsh, The convergence of sequences of rational functions of best approximation with some free poles, Approximation of Functions (Proc. Sympos. General Motors Res. Lab., 1964) Elsevier Publ. Co., Amsterdam, 1965, pp. 1–16. MR 0186986
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 138 (1969), 61-69
- MSC: Primary 30.70
- DOI: https://doi.org/10.1090/S0002-9947-1969-0241662-9
- MathSciNet review: 0241662