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The degree of approximation by linear operators


Author: Philip C. Curtis
Journal: Proc. Amer. Math. Soc. 16 (1965), 957-959
MSC: Primary 41.35
DOI: https://doi.org/10.1090/S0002-9939-1965-0193400-8
MathSciNet review: 0193400
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References [Enhancements On Off] (What's this?)

  • [1] D. L. Berman, On the impossibility of constructing a linear polynomial operator giving an approximation of best order, Uspehi. Mat. Nauk. 14 (1959), 141-142. MR 0109983 (22:866)
  • [2] D. Menshov, Sur les sommes partielles des séries de Fourier des fonctions continues, Mat. Sb. 57 (1944), 385-430. MR 0012139 (6:264e)
  • [3] I. P. Natanson, Konstruktive Funktionentheorie, Akademie-Verlag, Berlin, 1955. MR 0069915 (16:1100d)
  • [4] A. Zygmund, Trigonometric series, Cambridge Univ. Press, Cambridge, 1959. MR 0107776 (21:6498)

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DOI: https://doi.org/10.1090/S0002-9939-1965-0193400-8
Article copyright: © Copyright 1965 American Mathematical Society

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