Abstract:
Applications of the geometric theory of functions to some inequalities for algebraic polynomials and rational functions normalized on the circular arcs are considered. In particular, coefficients estimates, covering and distortion theorems are obtained. These theorems supplement recent results of the author and V. N. Dubinin.
Key words and phrases:covering and distortion theorems, inequalities for polynomials, inequalities for rational functions, Chebyshev polynomials, majorization principles, univalent functions.
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