Conformal mappings and inequalities for algebraic polynomials. II

被引：2
作者：
Dubinin V.N.
机构：
[1] Far East Department of Russian Academy of Sciences,Applied Mathematics Institute
来源：
Journal of Mathematical Sciences | 2005年 / 129卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Unit Disk; Conformal Mapping; Regular Mapping; Algebraic Polynomial; Bernstein Type;
D O I：
10.1007/s10958-005-0318-5
中图分类号：
学科分类号：
摘要：
This paper supplements the previous paper of the author under the same title. An analog of the Schwarz boundary lemma is proved for non-univalent regular mappings of subsets of the unit disk onto a disk. Based on this result, certain strengthened inequalities of Bernstein type for algebraic polynomials are obtained. The generalized Mendeleev problem is discussed. Two-sided bounds for the module of the derivative of a polynomial with critical points on an interval are established. Bounds for the coefficients of polynomials under certain constraints are provided. Bibliography: 16 titles. © 2005 Springer Science+Business Media, Inc.
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页码：18 / 37
页数：19
相关论文
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