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Szegö, Gábor; Zygmund, Antoni

On certain mean values of polynomials. (English) Zbl 0055.30303

J. Anal. Math. 3, 225-244 (1954).
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Cited in 35 Documents

Keywords:

complex functions
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\textit{G. Szegö} and \textit{A. Zygmund}, J. Anal. Math. 3, 225--244 (1954; Zbl 0055.30303)
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References:

[1] N. G. De Bruijn and T. A. Springer, On the zeros of composition polynomials,Proceedings Ned. Akad., vol. 50 (1947), pp. 895–903. · Zbl 0031.10504
[2] L. Fejér, Ueber die Summabilität der Laplaceschen Reihe,Mathematische Zeitschrift, vol. 24 (1926), pp. 267–284. · JFM 51.0225.04 · doi:10.1007/BF01216783
[3] R. M. Gabriel, Concerning integrals of moduli of regular functions along convex curves,Proceedings of the London Mathematical Society, series 2, vol. 39, (1935), pp. 216–231. · Zbl 0011.35802 · doi:10.1112/plms/s2-39.1.216
[4] G. H. Hardy and J. E. Littlewood, Some properties of the fractional integral. II.,Mathematische Zeitschrift, vol. 34 (1931-1932), pp. 403–439. · Zbl 0003.15601 · doi:10.1007/BF01180596
[5] G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, second edition, Cambridge University, 1952.
[6] E. Hille, G. Szegö and J. D. Tamarkin, On some generalizations of a theorem of A. Markoff,Duke Mathematical Journal, vol. 3 (1937), pp. 729–739. · Zbl 0018.01201 · doi:10.1215/S0012-7094-37-00361-2
[7] G. Pölya and G. Szegö, Aufgaben und Lehrsätze aus der Analysis, Berlin, 1925, vols. 1 and 2.
[8] A. C. Schaeffer, Inequalities of A. Karkoff and S. Bernstein for polynomials and related functions,Bulletin of the American Mathematical Society, vol. 47 (1941), pp. 565–579. · Zbl 0027.05205 · doi:10.1090/S0002-9904-1941-07510-5
[9] G. Szegö, Ueber einen Satz von A. Markoff,Mathematische Zeitschrift, vol. 23 (1925), pp. 45–61. · JFM 51.0097.01 · doi:10.1007/BF01506220
[10] G. Szegö, Orthogonal polynomials, American Mathematical Society, New York, 1939.
[11] C. de la Vallée Poussin, Leçons sur l’approximation des fonctions d’une variable réelle, Paris, 1919. · JFM 47.0908.02
[12] S. Warschawski, Ueber das Verhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung,Mathematische Zeitschrift, vol. 35 (1932), pp. 321–456. · Zbl 0004.40401 · doi:10.1007/BF01186562
[13] D. W. Western, Inequalities of the Markoff and Bernstein type for integral norms,Duke Mathematical Journal, vol. 15 (1948), pp. 839–869. · Zbl 0041.41306 · doi:10.1215/S0012-7094-48-01576-2
[14] A. Zygmund, A remark on conjugate functions,Proceedings of the London Mathematical Society, series 2, vol. 34 (1932), pp. 392–400. · Zbl 0005.35301 · doi:10.1112/plms/s2-34.1.392
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