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**S. N. Bernstein type estimations in the mean on the curves in a complex plane.**
*(English)*
Zbl 1187.26009

Summary: The present paper discusses in the metric \(L_p\) S. N. Bernstein type inequalities of the most general kind on very general accessible classes of curves in a complex plane. The obtained estimations, generally speaking, are not improvable.

### MSC:

26D05 | Inequalities for trigonometric functions and polynomials |

30A10 | Inequalities in the complex plane |

41A17 | Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities) |

### References:

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