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Some trigonometrical inequalities with applications to the theory of series

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References

  • V. Bernstein. 1. Leçons sur les progrès récents de la théorie des séries de Dirichlet (Paris, 1933).

  • A. S. Besicovitch. 1. Almost periodic functions (Cambridge, 1932).

  • S. Bochner. 1. Properties of Fourier series of almost periodic functions, Proc. London Math. Soc. (2)26 (1927), 433–452.

    Article  MathSciNet  MATH  Google Scholar 

  • S. Bochner. 2. Vorlesungen über Fouriersche Integrale (Leipzig, 1932).

  • F. Carlson and E. Landau. 1. Neuer Beweis und Verallgemeinerungen des Fabryschen Lückensatzes, Gött. Nachr. (1921), 184–188.

  • G. H. Hardy, J. E. Littlewood and G. Pólya. 1. Inequalities (Cambridge, 1934).

  • J. Karamata. 1. Sur les théorèmes de nature tauberienne, Compt. Rend.197 (1933), 888–890.

    MATH  Google Scholar 

  • . 2. Weiterführung der N. Wienerschen Methode, Math. Zeitschr.38 (1934), 701–708.

    Article  MathSciNet  MATH  Google Scholar 

  • A. E. Ingham. 1. On Wiener's method in Tauberian theorems, Proc. London Math. Soc. (2),38 (1935), 458–480.

    Article  MathSciNet  MATH  Google Scholar 

  • R. E. A. C. Paley and N. Wiener. 1. Fourier transforms in the complex domain (New York, 1934).

  • G. Pólya. 1. Über die Existenz unendlich vieler singulärer Punkte auf der Konvergenzgeraden gewisser Dirichletscher Reihen, Berl. Sitzungsber. (1923), 45–50.

  • M. Riesz. 1. Über die Summierbarkeit durch typische Mittel, Acta Litt. ac Scient. R. Univ. Hung.2 (1924 bis 1926), 18–31.

    MATH  Google Scholar 

  • N. Wiener. 1. A class of gap theorems, Annali della R. Scuola Normale Superiore di Pisa (2),3 (1934), 367–372.

    MathSciNet  MATH  Google Scholar 

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Ingham, A.E. Some trigonometrical inequalities with applications to the theory of series. Math Z 41, 367–379 (1936). https://doi.org/10.1007/BF01180426

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