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In this paper, we prove some integral-norm inequalities for the polar derivative of Lacunary-type complex polynomials having zeros in closed exterior or closed interior of a circle. The results obtained… Click to show full abstract
In this paper, we prove some integral-norm inequalities for the polar derivative of Lacunary-type complex polynomials having zeros in closed exterior or closed interior of a circle. The results obtained besides derive polar derivative analogues of some classical Bernstein and Tur?n-type inequalities for the uniform-norm also include several interesting generalizations and refinements of some integral-norm inequalities for polynomials as well.
Keywords:
polar derivative;
derivative lacunary;
lacunary type;
integral norm
Journal Title: Applicable Analysis and Discrete Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Applicable Analysis and Discrete Mathematics
Year Published: 2020
Link to full text (if available)
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recommendations!