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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the extensions of Bernstein polynomials to the infinite interval
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by P. L. Butzer PDF
Proc. Amer. Math. Soc. 5 (1954), 547-553 Request permission
References
  • Harald Bohman, On approximation of continuous and of analytic functions, Ark. Mat. 2 (1952), 43–56. MR 49966, DOI 10.1007/BF02591381
  • P. L. Butzer, Dominated convergence of Kantorovitch polynomials in the space $L^p$, Trans. Roy. Soc. Canada Sect. III 46 (1952), 23–27. MR 52574
  • I. Chlodovsky, Sur le dĂ©veloppement des fonctions dĂ©finies dans un intervalle infini en sĂ©ries de polynomes de M. S. Bernstein, Compositio Math. 4 (1937), 380–393 (French). MR 1556982
  • J. Favard, Sur les multiplicateurs d’interpolation, J. Math. Pures Appl. (9) 23 (1944), 219–247 (French). MR 15547
  • G. H. Hardy, Divergent Series, Oxford, at the Clarendon Press, 1949. MR 0030620
  • G. G. Lorentz, Bernstein polynomials, Mathematical Expositions, No. 8, University of Toronto Press, Toronto, 1953. MR 0057370
  • G. G. Lorentz, On the theory of spaces $\Lambda$, Pacific J. Math. 1 (1951), 411–429. MR 44740
  • Otto Szasz, Generalization of S. Bernstein’s polynomials to the infinite interval, J. Research Nat. Bur. Standards 45 (1950), 239–245. MR 0045863
  • A. Zygmund, Trignometrical series, Warsaw, 1935.
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Additional Information
  • © Copyright 1954 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 5 (1954), 547-553
  • MSC: Primary 41.1X
  • DOI: https://doi.org/10.1090/S0002-9939-1954-0063483-7
  • MathSciNet review: 0063483