Literature cited
A. Zygmund, Trigonometric Series, Vols. 1 and 2, Cambridge Univ. Press (1959).
S. N. Bernshtein, Extremal Properties of Polynomials [in Russian], OHTI i NKTP SSSR (1937).
J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The Theory of Splines and Their Applications, Academic Press, New York-London (1967).
L. V. Taikov, “A series of extremal problems for trigonometric polynomials,” Usp. Mat. Nauk,20, No. 3, 205–211 (1965).
L. Fejér, “Über trigonometrische Polynome,” in: Gesammelte Arbeiten, Band 1, Akademiai Kiado, Budapest (1970), pp. 842–872.
H. Pólya and G. Szegö, Problems and Theorems in Analysis, Vols. I and II, Springer-Verlag, Berlin-New York (1976).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 35, No. 3, pp. 349–356, March, 1984.
In conclusion, I express gratitude to V. V. Arestov for assistance and advice.
Rights and permissions
About this article
Cite this article
Babenko, A.G. An extremal problem for polynomials. Mathematical Notes of the Academy of Sciences of the USSR 35, 181–186 (1984). https://doi.org/10.1007/BF01139914
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01139914