Add to ORKGLet p(z) = "=oavZ be a polynomial of degree n, M(p,R) = maxlzl=R.>_l}p(z)l and pll- maxl=l---llp(z)[. If p(z) o in Izl < l, then according to a well known result of Ankeny and Rivlin, M(p,R) < {(R + 1)/2}llell for R> 1. In this paper, we generalize and sharpen this and some other related inequalities by considering polynomials having no zeros in Izl < K, K> 1
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, ...
Let p(z) = "=oavZ be a polynomial of degree n, M(p,R) = maxlzl=R.>_l}p(z)l and pll- maxl=l--...
A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑v=0n avzv is a polynomial of...
A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑v=0n avzv is a polynomial of...
A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑v=0n avzv is a polynomial of...
Let f(z) be an arbitrary entire function and M(f, r) = max |z|=r |f(z)|. A well-known theorem of An...
Let be a polynomial of degree , and . If in , then according to a well known result of Ankeny an...
AbstractLet p(z) = ∑v = 0navzv be a polynomial of degree n having no zeros in ¦z¦ < k, k ⩾ 1. Then w...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
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...
Abstract. A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑n j=0 ajz j is a p...
Let f(z) be an arbitrary entire function and M(f,r) = max|z|=r |f(z)|. For a polynomial p(z) of degr...
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, ...
Let p(z) = "=oavZ be a polynomial of degree n, M(p,R) = maxlzl=R.>_l}p(z)l and pll- maxl=l--...
A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑v=0n avzv is a polynomial of...
A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑v=0n avzv is a polynomial of...
A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑v=0n avzv is a polynomial of...
Let f(z) be an arbitrary entire function and M(f, r) = max |z|=r |f(z)|. A well-known theorem of An...
Let be a polynomial of degree , and . If in , then according to a well known result of Ankeny an...
AbstractLet p(z) = ∑v = 0navzv be a polynomial of degree n having no zeros in ¦z¦ < k, k ⩾ 1. Then w...
AbstractIf P(z)=∑ν=0ncνzν is a polynomial of degree n having no zeros in |z|<1, then for |β|⩽1, it w...
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...
Abstract. A well known result due to Ankeny and Rivlin [1] states that if p(z) = ∑n j=0 ajz j is a p...
Let f(z) be an arbitrary entire function and M(f,r) = max|z|=r |f(z)|. For a polynomial p(z) of degr...
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, ...