On inequalities of Bernstein type for complex trigonometric polynomials

V.G. Doronin (Dnipropetrovsk State University)

Abstract


We obtain generalizations of some inequalities of S.B. Stechkin for complex-valued trigonometric polynomials.

References


Korneichuk N.P., Babenko V.F., Ligun A.A. Extremum properties of polynomials and splines, Naukova dumka, 1992; 304 p. (in Russian)

Korneichuk N.P. Extremum problems in approximation theory, 1976. (in Russian)

Stechkin S.B. "Generalization of some inequalities of S.N. Bernstein", Dokl. AN SSSR, 1948; 60(9): pp. 1511-1514. (in Russian)




DOI: https://doi.org/10.15421/249807

  

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Copyright (c) 1998 V.G. Doronin

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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