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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An arithmetic property of Riemann sums
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by Walter Rudin PDF
Proc. Amer. Math. Soc. 15 (1964), 321-324 Request permission
References
  • B. Jessen, On the approximation of Lebesgue integrals by Riemann sums, Ann. of Math. (2) 35 (1934), no. 2, 248–251. MR 1503159, DOI 10.2307/1968429
  • R. Salem, Sur les sommes Riemanniennes des fonctions sommables, Mat. Tidsskr. B 1948 (1948), 60–62 (French). MR 27827
  • A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
    • J. Marcinkiewicz and A. Zygmund, Mean values of trigonometrical polynomials, Fund. Math. 28 (1937), 131-166. H. D. Ursell, On the behaviour of a certain sequence of functions derived from a given one, J. London Math. Soc. 12 (1937), 229-232.
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Additional Information
  • © Copyright 1964 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 15 (1964), 321-324
  • MSC: Primary 26.46; Secondary 28.00
  • DOI: https://doi.org/10.1090/S0002-9939-1964-0159918-8
  • MathSciNet review: 0159918