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

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 ge...

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Bibliographic Details
Main Authors: Gradimir V. Milovanović, Abdullah Mir
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02404-x