Distortion theorems for polynomials on a circle
Journal Article
·
· Sbornik. Mathematics
- Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok (Russian Federation)
Inequalities for the derivatives with respect to {phi}=arg z the functions ReP(z), |P(z)|{sup 2} and arg P(z) are established for an algebraic polynomial P(z) at points on the circle |z|=1. These estimates depend, in particular, on the constant term and the leading coefficient of the polynomial P(z) and improve the classical Bernstein and Turan inequalities. The method of proof is based on the techniques of generalized reduced moduli.
- OSTI ID:
- 21202981
- Journal Information:
- Sbornik. Mathematics, Vol. 191, Issue 12; Other Information: DOI: 10.1070/SM2000v191n12ABEH000528; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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