We obtain a generalization and improvement of the G. Freud theorem on arbitrary Jordan curves in the complex plane.
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V. V. Salaev, “Direct and inverse estimates for a singular Cauchy integral along a closed curve,” Mat. Zametki, 19, No. 3, 365–380 (1976).
G. Freud, “An approximation theoretical study of the structure of real functions,” Stud. Sci. Math. Hung., 5, 141–150 (1970).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 11, pp. 1578–1584, November, 2018.
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Mamedkhanov, J.I., Dadashova, I.B. On One Theorem of G. Freud. Ukr Math J 70, 1821–1828 (2019). https://doi.org/10.1007/s11253-019-01610-1
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DOI: https://doi.org/10.1007/s11253-019-01610-1