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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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Some properties of the Fejér polynomials
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by Fritz Herzog and George Piranian PDF
Proc. Amer. Math. Soc. 7 (1956), 379-386 Request permission
References
    H. S. Carslaw, Introduction to the theory of Fourier’s series and integrals, 3d ed., London, 1930. E. Egerváry, On a generalisation of a theorem of Kakeya, Acta Univ. Szeged. vol. 5 (1930-1932) pp. 78-82.
  • Paul Erdős, Fritz Herzog, and George Piranian, On Taylor series of functions regular in Gaier regions, Arch. Math. 5 (1954), 39–52. MR 62220, DOI 10.1007/BF01899316
  • Paul Erdös, Fritz Herzog, and George Piranian, Sets of divergence of Taylor series and of trigonometric series, Math. Scand. 2 (1954), 262–266. MR 67224, DOI 10.7146/math.scand.a-10413
  • P. Erdös and P. Turán, On the distribution of roots of polynomials, Ann. of Math. (2) 51 (1950), 105–119. MR 33372, DOI 10.2307/1969500
  • L. Fejér, Lebesguesche Konstanten und divergente Fourierreihen, J. Reine Angew. Math. vol. 138 (1910) pp. 22-53. —, Sur les singularités de la série de Fourier des fonctions continues, Ann. École Norm. (3) vol. 28 (1911) pp. 63-103.
  • Dieter Gaier, Über die Summierbarkeit beschränkter und stetiger Potenzreihen an der Konvergenzgrenze, Math. Z. 56 (1952), 326–334 (German). MR 50698, DOI 10.1007/BF01174758
  • R. Jentzsch, Untersuchungen zur Theorie der Folgen analytischer Funktionen, Inaugural-Dissertation, Berlin, 1914. G. Pólya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, vol. II, Berlin, 1925. G. Szegö, Über die Nullstellen von Polynomen, die in einem Kreise gleichmässig konvergieren, Berlin. Math. Ges. Sitzungsber. vol. 21 (1922) pp. 59-64. A. Zygmund, Trigonometric series, Warsaw, 1935.
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Additional Information
  • © Copyright 1956 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 7 (1956), 379-386
  • MSC: Primary 30.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1956-0079083-0
  • MathSciNet review: 0079083