Add to ORKGCopyright c © 2014 Zireh, Bidkham and Ahmadi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. If p(z) is a polynomial of degree n, having no zeros in |z|< 1, then it was shown by Dewan et al [K. K. Dewan and Sunil Hans, Generalization of certain well known polynomial inequalities, J. Math. Anal. Appl. 363 (2010) 38–41] that for every real or complex number β with |β | ≤ 1 and |z| = 1, |zp′(z)+ nβ 2 p(z) | ≤
Abstract. Let p(z) = a0 + ∑n j=t ajzj be a polynomial of degree n, having no zeros in |z | < k, ...
Abstract. Let p(z) = a0 + ∑n j=t ajzj be a polynomial of degree n, having no zeros in |z | < k, ...
Inequalities of Bernstein and Markov have been the starting point of a considerable literature in ap...
If p(z)=∑nv=0 avzv is a polynomial of degree n, having all its zeros in |z | ≤ 1, then it was prove...
Abstract. For an arbitrary entire function f(z), let M(f,R) = max|z|=R |f(z)| and m(f, r) = min|z|...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
AbstractLet p(z) = ∑nv = 0 avzv be a polynomial of degree n and let M(p, r) = max¦z¦ = r ¦p(z)¦. It ...
AbstractA well-known result of Rivlin states that if p(z) is a polynomial of degree n, such that p(z...
AbstractA well-known result of Rivlin states that if p(z) is a polynomial of degree n, such that p(z...
If pz=∑υ=0ncυzυ is a polynomial of degree n, having no zeros in z<1, then Aziz (1989) proved maxz=1p...
AbstractA well-known result of Rivlin states that if p(z) is a polynomial of degree n, such that p(z...
AbstractA well-known result of Rivlin states that if p(z) is a polynomial of degree n, such that p(z...
For a polynomial pz of degree n, it follows from the maximum modulus theorem that maxz=R≥1pz≤Rnmaxz=...
AbstractLet p(z) = ∑v = 0navzv be a polynomial of degree n having no zeros in ¦z¦ < k, k ⩾ 1. Then w...
Abstract. Let p(z) = a0 + ∑n j=t ajzj be a polynomial of degree n, having no zeros in |z | < k, ...
Abstract. Let p(z) = a0 + ∑n j=t ajzj be a polynomial of degree n, having no zeros in |z | < k, ...
Abstract. Let p(z) = a0 + ∑n j=t ajzj be a polynomial of degree n, having no zeros in |z | < k, ...
Inequalities of Bernstein and Markov have been the starting point of a considerable literature in ap...
If p(z)=∑nv=0 avzv is a polynomial of degree n, having all its zeros in |z | ≤ 1, then it was prove...
Abstract. For an arbitrary entire function f(z), let M(f,R) = max|z|=R |f(z)| and m(f, r) = min|z|...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
AbstractLet p(z) = ∑nv = 0 avzv be a polynomial of degree n and let M(p, r) = max¦z¦ = r ¦p(z)¦. It ...
AbstractA well-known result of Rivlin states that if p(z) is a polynomial of degree n, such that p(z...
AbstractA well-known result of Rivlin states that if p(z) is a polynomial of degree n, such that p(z...
If pz=∑υ=0ncυzυ is a polynomial of degree n, having no zeros in z<1, then Aziz (1989) proved maxz=1p...
AbstractA well-known result of Rivlin states that if p(z) is a polynomial of degree n, such that p(z...
AbstractA well-known result of Rivlin states that if p(z) is a polynomial of degree n, such that p(z...
For a polynomial pz of degree n, it follows from the maximum modulus theorem that maxz=R≥1pz≤Rnmaxz=...
AbstractLet p(z) = ∑v = 0navzv be a polynomial of degree n having no zeros in ¦z¦ < k, k ⩾ 1. Then w...
Abstract. Let p(z) = a0 + ∑n j=t ajzj be a polynomial of degree n, having no zeros in |z | < k, ...
Abstract. Let p(z) = a0 + ∑n j=t ajzj be a polynomial of degree n, having no zeros in |z | < k, ...
Abstract. Let p(z) = a0 + ∑n j=t ajzj be a polynomial of degree n, having no zeros in |z | < k, ...
Inequalities of Bernstein and Markov have been the starting point of a considerable literature in ap...