Turan Type Inequalities For a Class of Polynomials With Constraints

	Turan Type Inequalities For a Class of Polynomials With Constraints
International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 583-594 اصل مقاله (138.56 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22834.2419
نویسندگان
Shabir Ahmad Malik^* ¹؛ Bashir Ahmad Zargar²؛ F.A. Zargar²؛ F.A. Sofi³
¹Department of Mathematics, University of Kashmir , Srinagar, Jammu and Kashmir, India
²Department of Mathematics, University of Kashmir, Srinagar, Jammu and Kashmir, India
³Department of Mathematics, Govt. College for Women, M.A. Road, Srinagar - 190001, Jammu and Kashmir, India
چکیده
In this paper some sharp lower bound estimates for the maximal modulus of $p'(z)$ and polar derivative of $p(z)$ are established in terms of their degrees, coefficients and maximal modulus of $p(z)$ over unit disk under the assumption that all the zeros of $p(z)$ lie in $\|z\|\leq k$, $k \geq 1$.
کلیدواژه‌ها
Lower bound؛ Maximum modulus؛ Polar derivative؛ Polynomial
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