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

[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.

[学科分类] 电力

[关键词] Polar derivative;Zygmund-type inequality;Integral norm