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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 | ||
| تاریخ دریافت: 13 اسفند 1399، تاریخ بازنگری: 13 فروردین 1400، تاریخ پذیرش: 30 فروردین 1400 | ||
| 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 | ||
| مراجع | ||
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