篇名 | Integral Mean Estimates for Polynomials with Restricted Zeros |
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卷期 | 27:2 |
作者 | W. M. Shah 、 A. Liman |
頁次 | 165-181 |
關鍵字 | Polynomials 、 Integral mean estimates 、 Zeros |
出刊日期 | 201105 |
In this paper, we prove some integral inequalities concerning poly-nomials and there by investigate the dependence of jP(Rz) P(z)j on jP(z)j for jzj = 1. These results not only generalize some well-known Lq (q > 1) inequalities, but also establish the validity of many in (0; 1)as well.