期刊文献+

ON THE COEFFICIENTS OF A POLYNOMIAL WITH RESTRICTED ZEROS

ON THE COEFFICIENTS OF A POLYNOMIAL WITH RESTRICTED ZEROS
下载PDF
导出
摘要 Let P(z)=anz^n+an-1z^n-1+…+a0be a complex polynomial of degree n. There is a close connection between the coefficients and the zeros of P(z). In this paper we prove some sharp inequalities concerning the coefficients of the polynomial P(z) with restricted zeros. We also establish a sufficient condition for the separation of zeros of P(z). Let P(z)=anz^n+an-1z^n-1+…+a0be a complex polynomial of degree n. There is a close connection between the coefficients and the zeros of P(z). In this paper we prove some sharp inequalities concerning the coefficients of the polynomial P(z) with restricted zeros. We also establish a sufficient condition for the separation of zeros of P(z).
出处 《Analysis in Theory and Applications》 2009年第2期142-146,共5页 分析理论与应用(英文刊)
关键词 polynomial inequality coefficient estimate separation of zeros polynomial inequality, coefficient estimate, separation of zeros
  • 相关文献

参考文献5

  • 1Van der Corput, J. G,Visser, C.Inequalities Concerning Polynomials and Trignometric Polynomials[].Indagationes Mathematicae New Series.1946
  • 2Van der Corput, J. G,Visser, C.Inequalities Concerning Polynomials and Trignometric Polynomials[].Nederal Akad Wetensch Proc.
  • 3Frappier,C.,Rahman,Q. I.,Ruscheweyh,St.New inequalities for polynomials[].Transactions of the American Mathematical Society.1985
  • 4Rahman,Q. I.Inequalities Concerning Polynomials and Trigonometric Polynomials[].Journal of Mathematical Analysis and Applications.1963
  • 5Visser,C.A simple proof of certain inequalities concerning polynomials[].Nederl Akad Wetensch Proc.1945

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部