Add to ORKGLet P(z) be a polynomial of degree at most n. We consider an operator D (alpha) which maps a polynomial P(z) into D (alpha) P(z) := nP(z) + (alpha - z)P\u27(z) and prove results concerning the estimates of |D (alpha) P(z)| on the disk |z| = R a parts per thousand yen 1, and thereby obtain extensions and generalizations of a number of well-known polynomial inequalities
AbstractLet P(z) = an Πnν=1 (z − zν), an ≠ 0 be a polynomial of degree n. It is known that if |zν| ≥...
Abstract. For a polynomial p(z) of degree n, we have obtained jp(k) ()j n(n1)(n2)::::(nk+1) j j
Inequalities of Bernstein and Markov have been the starting point of a considerable literature in ap...
Let P(z) be a polynomial of degree at most n. We consider an operator D α which maps a polynomial P(...
Let P(z) be a polynomial of degree at most n. We consider an operator D α which maps a polynomial P(...
AbstractLet p(z) be a polynomial of degree n and for any real or complex number α, let Dαp(z)=np(z)+...
AbstractLet pn(z) be a polynomial of degree n and Dα{pn(z)} its polar derivative. It has been proved...
For a polynomial () of degree , we consider an operator which map a polynomial () into ()∶=(−)′()+(...
Let p(z) be a polynomial of degree n and for α ∈ C, let Dαp(z) := np(z)+(α−z )p0(z) denote the polar...
Inequalities of Markov and Bernstein were the starting point of considerable literature in polynomia...
Let \(P(z)\) be a polynomial of degree \(n\), then concerning the estimate for maximum of \(|P'(z)|\...
If p(z) is a polynomial of degree n, then Govil [N.K. Govil, Some inequalities for derivative of pol...
In this paper, we extend some polynomial inequalities to the polar derivative of a polynomial having...
AbstractLet P(z) = an Πnν=1 (z − zν), an ≠ 0 be a polynomial of degree n. It is known that if |zν| ≥...
AbstractLet P(z) = an Πnv=1 (z − zv), an ≠ 0 be a polynomial of degree n. It is known that if |zv| ≥...
AbstractLet P(z) = an Πnν=1 (z − zν), an ≠ 0 be a polynomial of degree n. It is known that if |zν| ≥...
Abstract. For a polynomial p(z) of degree n, we have obtained jp(k) ()j n(n1)(n2)::::(nk+1) j j
Inequalities of Bernstein and Markov have been the starting point of a considerable literature in ap...
Let P(z) be a polynomial of degree at most n. We consider an operator D α which maps a polynomial P(...
Let P(z) be a polynomial of degree at most n. We consider an operator D α which maps a polynomial P(...
AbstractLet p(z) be a polynomial of degree n and for any real or complex number α, let Dαp(z)=np(z)+...
AbstractLet pn(z) be a polynomial of degree n and Dα{pn(z)} its polar derivative. It has been proved...
For a polynomial () of degree , we consider an operator which map a polynomial () into ()∶=(−)′()+(...
Let p(z) be a polynomial of degree n and for α ∈ C, let Dαp(z) := np(z)+(α−z )p0(z) denote the polar...
Inequalities of Markov and Bernstein were the starting point of considerable literature in polynomia...
Let \(P(z)\) be a polynomial of degree \(n\), then concerning the estimate for maximum of \(|P'(z)|\...
If p(z) is a polynomial of degree n, then Govil [N.K. Govil, Some inequalities for derivative of pol...
In this paper, we extend some polynomial inequalities to the polar derivative of a polynomial having...
AbstractLet P(z) = an Πnν=1 (z − zν), an ≠ 0 be a polynomial of degree n. It is known that if |zν| ≥...
AbstractLet P(z) = an Πnv=1 (z − zv), an ≠ 0 be a polynomial of degree n. It is known that if |zv| ≥...
AbstractLet P(z) = an Πnν=1 (z − zν), an ≠ 0 be a polynomial of degree n. It is known that if |zν| ≥...
Abstract. For a polynomial p(z) of degree n, we have obtained jp(k) ()j n(n1)(n2)::::(nk+1) j j
Inequalities of Bernstein and Markov have been the starting point of a considerable literature in ap...