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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The convergence of sequences of rational functions of best approximation. II


Author: J. L. Walsh
Journal: Trans. Amer. Math. Soc. 116 (1965), 227-237
MSC: Primary 41.17
MathSciNet review: 0188684
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  • [1] J. L. Walsh, The convergence of sequences of rational functions of best approximation, Math. Ann. 155 (1964), 252–264. MR 0164185 (29 #1484)
  • [2] -, Interpolation and approximation, Amer. Math. Soc. Colloq. Publ., Vol. 20 Amer. Math. Soc., Providence, R. I., 1935.
  • [3] -, The analogue for maximally convergent polynomials of Jentzsch's theorem, Duke Math. J. 26 (1959), 605-616.
  • [4] J. L. Walsh, Overconvergence, degree of convergence, and zeros of sequences of analytic functions, Duke Math. J. 13 (1946), 195–234. MR 0017797 (8,201e)
  • [5] J. L. Walsh, On the overconvergence of certain sequences of rational functions of best approximation, Acta Math. 57 (1931), no. 1, 411–435. MR 1555339, http://dx.doi.org/10.1007/BF02403051
  • [6] V. Erohin, On the best approximation of analytic functions by rational fractions with free poles, Dokl. Akad. Nauk SSSR 128 (1959), 29–32 (Russian). MR 0108596 (21 #7312)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1965-0188684-0
PII: S 0002-9947(1965)0188684-0
Article copyright: © Copyright 1965 American Mathematical Society



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