The convergence of sequences of rational functions of best approximation. III
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- by J. L. Walsh PDF
- Trans. Amer. Math. Soc. 130 (1968), 167-183 Request permission
References
- J. L. Walsh, Note on the convergence of approximating rational functions of prescribed type, Proc. Nat. Acad. Sci. U.S.A. 50 (1963), 791β794. MR 157163, DOI 10.1073/pnas.50.5.791
- J. L. Walsh, The convergence of sequences of rational functions of best approximation, Math. Ann. 155 (1964), 252β264. MR 164185, DOI 10.1007/BF01344163
- J. L. Walsh, The convergence of sequences of rational functions of best approximation. II, Trans. Amer. Math. Soc. 116 (1965), 227β237. MR 188684, DOI 10.1090/S0002-9947-1965-0188684-0
- 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.Β 1β16. MR 0186986 β, Interpolation and approximation, Colloq. Publ., Vol. 20, Amer. Math. Soc., Providence, R. I., 1935.
- Joseph L. Walsh, An extension of the generalized Bernstein lemma, Colloq. Math. 16 (1967), 91β92. MR 216009, DOI 10.4064/cm-16-1-91-92
- J. L. Walsh, A sequence of rational functions with application to approximation by bounded analytic functions, Duke Math. J. 30 (1963), 177β189. MR 171929
- J. L. Walsh, Degree of polynomial approximation to an analytic function as measured by a surface integral, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 26β32. MR 132331, DOI 10.1073/pnas.48.1.26
- J. L. Walsh and H. G. Russell, Integrated continuity conditions and degree of approximation by polynomials or by bounded analytic functions, Trans. Amer. Math. Soc. 92 (1959), 355β370. MR 108595, DOI 10.1090/S0002-9947-1959-0108595-3
- Dunham Jackson, On certain problems of approximation in the complex domain, Bull. Amer. Math. Soc. 36 (1930), no.Β 12, 851β857. MR 1562068, DOI 10.1090/S0002-9904-1930-05078-8
- H. Margaret Elliott, On approximation to functions satisfying a generalized continuity condition, Trans. Amer. Math. Soc. 71 (1951), 1β23. MR 44627, DOI 10.1090/S0002-9947-1951-0044627-1
- A. A. GonΔar, On series of rational functions, Dokl. Akad. Nauk SSSR 143 (1962), 1246β1249 (Russian). MR 0136896
- D. J. Newman, Rational approximation to $| x|$, Michigan Math. J. 11 (1964), 11β14. MR 171113
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 130 (1968), 167-183
- MSC: Primary 30.70
- DOI: https://doi.org/10.1090/S0002-9947-1968-0218590-7
- MathSciNet review: 0218590