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

Mamedkhanov, J. I.; Dadashova, I. B.

Abstr. Appl. Anal. 2009, Article ID 165194, 19 p. (2009).

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)

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