Generalizations of Zygmund-type integral inequalities for the polar derivative of a complex polynomial

被引：5

作者：

Milovanovic, Gradimir V. ^{[1
,2
]}

Mir, Abdullah ^{[3
]}

机构：

[1] Serbian Acad Arts & Sci, Belgrade, Serbia

[2] Univ Nis, Fac Sci & Math, Nish, Serbia

[3] Univ Kashmir, Dept Math, Srinagar, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Polar derivative; Zygmund-type inequality; Integral norm;

D O I：

10.1186/s13660-020-02404-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some Zygmund-type integral inequalities for the polar derivatives of complex polynomials, inspired by the classical Bernstein-type inequalities that relate the uniform norms of polynomials and their derivatives on the unit circle, are investigated. The obtained results sharpen as well as generalize some already known L delta-estimates between polynomials and their polar derivatives.

引用

页数：12

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[2] GENERALIZATIONS OF SOME ZYGMUND-TYPE INTEGRAL INEQUALITIES FOR POLAR DERIVATIVES OF A COMPLEX POLYNOMIAL
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