Generalizations of Zygmund-type integral inequalities for the polar derivative of a complex polynomial
Tóm tắt
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.
Tài liệu tham khảo
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