Generalizations of some Zygmund-type integral inequalities for polar derivatives of a complex polynomial
Keyword(s):
We prove some results for algebraic polynomials in the complex plane that relate the L-norm of the polar derivative of a complex polynomial and the polynomial under some conditions. The obtained results include several interesting generalizations of some Zygmund-type integral inequalities for polynomials and derive polar derivative analogues of some classical Bernsteintype inequalities for the sup-norms on the unit disk as well.
Keyword(s):
2015 ◽
Vol 159
(2)
◽
pp. 253-273
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Keyword(s):
2019 ◽
Vol 106
(120)
◽
pp. 85-94
◽
2020 ◽
Vol 74
(1)
◽
pp. 67
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