Approximation by rational and meromorphic functions having a bounded number of free poles
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- by E. B. Saff PDF
- Trans. Amer. Math. Soc. 141 (1969), 79-92 Request permission
References
- 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 —, Interpolation and approximation, 3rd ed., Amer. Math. Soc. Colloq. Publ., Vol. 20, Amer. Math. Soc., Providence, R. I., 1960.
- Stefan Warschawski, Bemerkung zu meiner Arbeit: Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung, Math. Z. 38 (1934), no. 1, 669–683 (German). MR 1545475, DOI 10.1007/BF01170662
- P. Dienes, The Taylor series: an introduction to the theory of functions of a complex variable, Dover Publications, Inc., New York, 1957. MR 0089895
- J. L. Walsh, Note on the convergence of approximating rational functions of prescribed type, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 791–794. MR 157163, DOI 10.1073/pnas.50.5.791 —, Approximation by bounded analytic functions, no. 144, Mémor. Sci. Math., Paris, 1960.
- J. L. Walsh and H. Margaret Elliott, Polynomial approximation to harmonic and analytic functions: generalized continuity conditions, Trans. Amer. Math. Soc. 68 (1950), 183–203. MR 33921, DOI 10.1090/S0002-9947-1950-0033921-5
- Joseph L. Walsh, An extension of the generalized Bernstein lemma, Colloq. Math. 16 (1967), 91–92. MR 216009, DOI 10.4064/cm-16-1-91-92
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 141 (1969), 79-92
- MSC: Primary 30.70
- DOI: https://doi.org/10.1090/S0002-9947-1969-0243082-X
- MathSciNet review: 0243082