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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The convergence of sequences of rational functions of best approximation. II
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by J. L. Walsh PDF
Trans. Amer. Math. Soc. 116 (1965), 227-237 Request permission
References
  • J. L. Walsh, The convergence of sequences of rational functions of best approximation, Math. Ann. 155 (1964), 252–264. MR 164185, DOI 10.1007/BF01344163
  • —, Interpolation and approximation, Amer. Math. Soc. Colloq. Publ., Vol. 20 Amer. Math. Soc., Providence, R. I., 1935. —, The analogue for maximally convergent polynomials of Jentzsch’s theorem, Duke Math. J. 26 (1959), 605-616.
  • J. L. Walsh, Overconvergence, degree of convergence, and zeros of sequences of analytic functions, Duke Math. J. 13 (1946), 195–234. MR 17797, DOI 10.1215/S0012-7094-46-01320-8
  • 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, DOI 10.1007/BF02403051
  • 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
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 116 (1965), 227-237
  • MSC: Primary 41.17
  • DOI: https://doi.org/10.1090/S0002-9947-1965-0188684-0
  • MathSciNet review: 0188684