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

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.

 

On the partial sums of harmonic developments and of power series
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by Otto Szász
Trans. Amer. Math. Soc. 52 (1942), 12-21
DOI: https://doi.org/10.1090/S0002-9947-1942-0006757-4
References
    L. Fejér, Neue Eigenschaften der Mittelwerte bei den Fourierreihen, Journal of the London Mathematical Society, vol. 8 (1933), pp. 53-62. S. Mandelbrojt, Quelques remarques sur les fonctions univalentes, Bulletin des Sciences Mathématiques, (2), vol. 58 (first part) (1934), pp. 185-200.
  • Malcolm I. S. Robertson, On the theory of univalent functions, Ann. of Math. (2) 37 (1936), no. 2, 374–408. MR 1503286, DOI 10.2307/1968451
  • Werner Rogosinski, Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Z. 35 (1932), no. 1, 93–121 (German). MR 1545292, DOI 10.1007/BF01186552
  • I. Schur and G. Szegö, Über die Abschnitte einer im Einheitskreise beschränkten Potenzreihe, Sitzungsberichte der Preussischen Akademie, 1923, pp. 545-560.
  • Otto Szász, On the Cesàro and Riesz means of Fourier series, Compositio Math. 7 (1939), 112–122. MR 851
  • P. Turán, Über die montone Konvergenz der Cesàro-Mittel bei Fourier- und Potenzreihen, Proceedings of the Cambridge Philosophical Society, vol. 34, Part II (1938), pp. 134-143. A. Zygmund, Trigonometrical Series, 1935.
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Bibliographic Information
  • © Copyright 1942 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 52 (1942), 12-21
  • MSC: Primary 42.4X
  • DOI: https://doi.org/10.1090/S0002-9947-1942-0006757-4
  • MathSciNet review: 0006757