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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Fourier series and mean moduli of continuity
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by Otto Szász PDF
Trans. Amer. Math. Soc. 42 (1937), 366-395 Request permission
References
    S. Bernstein. Sur la convergence absolue des séries trigonométriques. Comptes Rendus des Séances de l’Académie des Sciences, Paris, vol. 158 (1914), pp. 1661-1663. —. Same title. Communications de la Société Mathématique de Kharkoff, vol. 14 (1914), pp. 139-144 (in Russian). —. Same title. Comptes Rendus, vol. 199 (1934), pp. 397-400.
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  • M. Riesz. Eine trigonometrische Interpolationsformel und einige Ungleichungen fur Polynome. Jahresbericht der Deutschen Mathematiker-Vereinigung, vol. 23 (1914), pp. 354-368. O. Szász. Über den Konvergenzexponenten der Fourierschen Reihen gewisser Funktionenklassen. Sitzungsberichte der Bayerischen Akademie der Wissenschaften, München, 1922, pp. 135-150. —. Korlátos hatványsorokról, Matematikai és Természettudomanyi Ertesitö, vol. 43 (1926), pp. 504-520.
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  • Antoni Zygmund, Some points in the theory of trigonometric and power series, Trans. Amer. Math. Soc. 36 (1934), no. 3, 586–617. MR 1501757, DOI 10.1090/S0002-9947-1934-1501757-2
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Additional Information
  • © Copyright 1937 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 42 (1937), 366-395
  • MSC: Primary 42A16
  • DOI: https://doi.org/10.1090/S0002-9947-1937-1501927-6
  • MathSciNet review: 1501927