3篇
您的检索式：作者名="Ahmad Zireh"
|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | Some Results Concerning Growth of Polynomials显示文摘Let P(z) be a polynomial of degree n having no zeros in |z|< 1, then for every real or complex number β with |β|≤ 1, and |z|=1, R ≥ 1, it is proved by Dewan et al. [4] that ︱P(Rz)+ β( R+1/2 )n P(z)︱≤ 1 /2 { (︱Rn + β(R+1/2 )n︱+︱1+ β (R + 1 /2 )n︱) max |z|=1 |P(z)︱-(︱Rn + β (R+1/2 )n︱-︱1+ β(R+1/2 )n︱) min|z|=1 |P(z)︱}.In this paper we generalize the above inequality for polynomials having no zeros in |z| | Ahmad Zireh E.Khojastehnejhad S.R.Musawi | 2013 | Analysis in Theory and Applications2013，29，1： | 3 |
| 2 | Some Generalization for an Operator Which Preserving Inequalities Between Polynomials显示文摘For a polynomial p(z) of degree n which has no zeros in |z| < 1, Dewan et al.,(K. K. Dewan and Sunil Hans, Generalization of certain well known polynomial inequalities, J. Math. Anal. Appl., 363(2010), 38–41) established zp′(z) +nβ2p(z) ≤n2{( β2 + 1+β2)max|z|=1|p(z)|-( 1+β2- β2)min|z|=1|p(z)|},for any complex number β with |β|≤ 1 and |z| = 1. In this paper we consider the operator B, which carries a polynomial p(z) into B[ p(z)] := λ0p(z) + λ1(nz2)p′(z)1!+ λ2(nz2)2 p′′(z)2!,where λ0, λ1, and λ2are such that all the zeros of u(z) = λ0+c(n,1)λ1z+c(n,2)λ2z2lie in the half plane |z| ≤ |z-n/2|. By using the operator B, we present a generalization of result of Dewan. Our result generalizes certain well-known polynomial inequalities. | Ahmad Zireh Susheel Kumar Kum Kum Dewan | 2014 | Analysis in Theory and Applications2014，30，3： | 0 |
| 3 | Some Inequalities for the Polynomial with S-Fold Zeros at the Origin显示文摘Let p(z) be a polynomial of degree n, which has no zeros in |z|<1,Dewan et al.[K.K.Dewan and Sunil Hans, Generalization of certain well known polynomial inequalities, J. Math. Anal. Appl.,363(2010),pp.38–41] established |zp'(z)+nβ/2p(z)≤n/2{(|β/2|+|1+β/2|)max|z|=1|p(z)|-(|1+β/2|-|β/2|)min|z|=1|p(z)|},for any|β|≤1 and |z|=1.In this paper we improve the above inequality for the polynomial which has no zeros in |z| | Ahmad Zireh Mahmood Bidkham | 2016 | Analysis in Theory and Applications2016，32，1： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员