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

Journal of inequalities and applications

article

Gradimir V. Milovanović¹  Abdullah Mir³ 

[1] Serbian Academy of Sciences and Arts;Faculty of Science and Mathematics, University of Niš;Department of Mathematics, University of Kashmir

关键词: Polar derivative;    Zygmund-type inequality;    Integral norm;   

DOI  :  10.1186/s13660-020-02404-x

学科分类：电力

来源: SpringerOpen

【 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.

【 授权许可】

CC BY