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Growth of the sth derivative of a polynomial with restricted zeros | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 15، شماره 7، مهر 2024، صفحه 1-9 اصل مقاله (383.77 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27169.3521 | ||
| نویسندگان | ||
| Reingachan Ngamchui؛ Khangembam Babina Devi* ؛ Barchand Chanam | ||
| Department of Mathematics, National Institute of Technology Manipur, Manipur-795004, India | ||
| تاریخ دریافت: 24 اردیبهشت 1401، تاریخ بازنگری: 19 مرداد 1402، تاریخ پذیرش: 21 مرداد 1402 | ||
| چکیده | ||
| In this paper, we establish some upper bound estimates for the maximum modulus of the higher order derivative of a polynomial with restricted zeros on a circle of $|z|=R$, $R\geq 1$, in terms of the maximum modulus of the same polynomial on the unit circle $|z|=1$. These results generalize and sharpen some known results in this direction. | ||
| کلیدواژهها | ||
| Polynomials؛ Zeros؛ Inequalities؛ Maximum modulus | ||
| مراجع | ||
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