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

Journal of Inequalities and Applications

Abdullah Mir¹  Gradimir V. Milovanović² 

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

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

DOI  :  10.1186/s13660-020-02404-x

来源: DOAJ

【 摘 要 】

Abstract 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 δ $L^{\delta }$ -estimates between polynomials and their polar derivatives.

【 授权许可】

Unknown