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• [5] J. Privaloff, Sur certaines propriétés métriques des fonctions analytiques, J. École Polytech. (2) vol. 24 (1924) pp. 77-112.
• [6] Marcel Riesz, Sur les fonctions conjuguées, Math. Z. 27 (1928), no. 1, 218–244 (French). MR 1544909, https://doi.org/10.1007/BF01171098
• [7] W. E. Sewell, Degree of Approximation by Polynomials in the Complex Domain, Annals of Mathematical Studies, no. 9, Princeton University Press, Princeton, N. J., 1942. MR 0007054
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• [9] J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, Third edition. American Mathematical Society Colloquium Publications, Vol. XX, American Mathematical Society, Providence, R.I., 1960. MR 0218587
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• [11] J. L. Walsh, W. E. Sewell, and H. M. Elliott, On the degree of polynomial approximation to harmonic and analytic functions, Trans. Amer. Math. Soc. 67 (1949), 381–420. MR 33920, https://doi.org/10.1090/S0002-9947-1949-0033920-5
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Bibliography

[1]

N. Achyèser, Über den Jacksonschen Approximationssatz, Communications de la Société Mathématique de Kharkow (4) vol. 8 (1934) pp. 3-12.

[2]

John Curtiss, A note on the degree of polynomial approximation, Bull. Amer. Math. Soc. vol. 42 (1936) pp. 873-878. MR 1563457

[3]

C. de la Vallée Poussin, Sur l'intégrale de Lebesgue, Trans. Amer. Math. Soc. vol. 16 (1915) pp. 435-501. MR 1501024

[4]

-, Leçons sur l'approximation des fonctions d'une variable réelle, Paris, 1919.

[5]

J. Privaloff, Sur certaines propriétés métriques des fonctions analytiques, J. École Polytech. (2) vol. 24 (1924) pp. 77-112.

[6]

M. Riesz, Sur les fonctions conjuguées, Math. Zeit. vol. 27 (1928) pp. 218-244. MR 1544909

[7]

W. E. Sewell, Degree of approximation by polynomials in the complex domain, Annals of Mathematics Studies, no. 9, Princeton, 1942. MR 0007054 (4:78c)

[8]

V. Smirnoff, Sur les formules de Cauchy et de Green, Bull. Acad. Sci. URSS Sér. Math. (7) vol. 3 (1932) pp. 337-371.

[9]

J. L. Walsh, Interpolation and approximation by rational functions in the complex domain, Amer. Math. Soc. Colloquium Publications, vol. 20, New York, 1935. MR 0218588 (36:1672b)

[10]

J. L. Walsh and W. E. Sewell, Sufficient conditions for various degrees of approximation by polynomials, Duke Math. J. vol. 6 (1940) pp. 658-705. MR 0002592 (2:80c)

[11]

J. L. Walsh, W. E. Sewell, and H. M. Elliott, On the degree of polynomial approximation to harmonic and analytic functions, Trans. Amer. Math. Soc. vol. 67 (1949) pp. 381-420. MR 0033920 (11:515b)

[12]

D. W. Western, Inequalities of the Markoff and Bernstein type for integral norms, Duke Math. J. vol. 15 (1948) pp. 839-869. MR 0026718 (10:191c)