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The goal of this paper is to extend to the polar derivatives some previous inequalities between the $$L^\gamma $$-norms of the derivative and of the polynomial itself, in case when… Click to show full abstract
The goal of this paper is to extend to the polar derivatives some previous inequalities between the $$L^\gamma $$-norms of the derivative and of the polynomial itself, in case when the zeros are outside or inside some closed disk. Apart from this, our results also derive polar derivative analogues of some classical Bernstein and Turan-type inequalities that relate the sup-norms of a polynomial to that of its derivative on the unit circle.
Keywords:
polar derivative;
generalizations bernstein;
tur type;
bernstein tur;
inequalities polar;
type inequalities
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!