Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Gibbs’ phenomenon for Hausdorff means
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by Otto Szász
Trans. Amer. Math. Soc. 69 (1950), 440-456
DOI: https://doi.org/10.1090/S0002-9947-1950-0038464-0
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References
    H. Cramér, Études sur la sommation des series de Fourier, Arkiv för Matematik, vol. 13, no. 20, 1919. R. G. Cooke, Disappearing Gibbs’ phenomena, Proc. London Math. Soc. vol. 30 (1930) pp. 144-164.
  • T. H. Gronwall, Zur Gibbsschen Erscheinung, Ann. of Math. (2) 31 (1930), no. 2, 233–240 (German). MR 1502938, DOI 10.2307/1968094
  • Georg Pólya, Über die Nullstellen gewisser ganzer Funktionen, Math. Z. 2 (1918), no. 3-4, 352–383 (German). MR 1544326, DOI 10.1007/BF01199419
  • O. Szász, On the Gibbs’ phenomenon for Euler means, Acta Sci. Math. (Szeged) 12 (1950), 107–111. MR 34883
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Bibliographic Information
  • © Copyright 1950 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 69 (1950), 440-456
  • MSC: Primary 42.4X
  • DOI: https://doi.org/10.1090/S0002-9947-1950-0038464-0
  • MathSciNet review: 0038464