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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.

 

Approximation of continuous functions by typical means of their Fourier series
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by S. Aljančić PDF
Proc. Amer. Math. Soc. 12 (1961), 681-688 Request permission
References
  • Georges Alexits, Sur l’ordre de grandeur de l’approximation d’une fonction par les moyennes de sa série de Fourier, Mat. Fiz. Lapok 48 (1941), 410–422 (Hungarian, with French summary). MR 18241
  • Slobodan Aljančić, Classe de saturation des procédés de sommation de Hölder et de Riesz, C. R. Acad. Sci. Paris 246 (1958), 2567–2569 (French). MR 95364
  • J. Favard, Sur l’approximation des fonctions d’une variable réelle, Analyse Harmonique, Colloques Internationaux du Centre National de la Recherche Scientifique, no. 15, Centre National de la Recherche Scientifique, Paris, 1949, pp. 97–110 (French). MR 0032839
  • Einar Hille, On the analytical theory of semi-groups, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 421–424. MR 7575, DOI 10.1073/pnas.28.10.421
  • Béla de Sz. Nagy, Sur une classe générale de procédés de sommation pour les séries de Fourier, Hungarica Acta Math. 1 (1948), no. 3, 14–52 (French). MR 27879
  • S. Nikolsky, Approximations of periodic functions by trigonometrical polynomials, Trav. Inst. Math. Stekloff 15 (1945), 76 (Russian, with English summary). MR 0015540
  • S. B. Stečkin, On best approximation of certain classes of periodic functions by trigonometric polynomials, Izv. Akad. Nauk SSSR. Ser. Mat. 20 (1956), 643–648 (Russian). MR 0080793
  • Gen-ichirô Sunouchi and Chinami Watari, On determination of the class of saturation in the theory of approximation of functions, Proc. Japan Acad. 34 (1958), 477–481. MR 100755
    • M. Zamansky, (a) Classes de saturation de certains procédés d’approximation des séries de Fourier, Ann. Sci. École Norm. Sup. vol. 66 (1949) pp. 19-93. (b) Classes de saturation des procédés de sommation des séries de Fourier et applications aux séries trigonométriques, Ann. Sci. École Norm. Sup. vol. 67 (1950) pp. 161-198.
  • A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
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Additional Information
  • © Copyright 1961 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 12 (1961), 681-688
  • MSC: Primary 42.06
  • DOI: https://doi.org/10.1090/S0002-9939-1961-0130525-3
  • MathSciNet review: 0130525