Add to ORKGLet D denote the unit disc of the complex plane and Pn the class of polynomials of degree at most n with complex coefficients. We give a new proof of∣∣∣∣p(z) − zp′(z)n ∣∣∣∣+ ∣∣∣∣zp′(z)n ∣∣∣ ∣ ≤ |p|D, z ∈ D, p ∈ Pn together with a complete discussion of all cases of equality and some applications. This paper is dedicated to the memory of Walter Hengartne
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
If P(z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β ∈ C with α ...
If P(z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β ∈ C with α ...
Let D be the unit disc in the complex plane C and ‖ p ‖: = max z∈∂D | p(z) |, where p(z):= ∑n k=0 a...
Let D denote the unit disc of the complex plane and Pn the class of polynomials of degree at most n ...
Abstract. Let D be the unit disk in the complex plane C and ‖p ‖: = max z∈∂D |p(z)|, where p(z) = ∑n...
AbstractLet pn(z) = an Πv = 1n (z − zv), an ≠ 0 be a polynomial of degree n and let ∥pn∥ = max¦z¦ = ...
AbstractBernstein's classical theorem states that for a polynomialPof degree at mostn, max|z|=1|P′(z...
AbstractLet D be the unit disk in the complex plane C. We prove that for any polynomial p of degree ...
Bernstein\u27s classical theorem states that for a polynomialPof degree at mostn, maxz=1P′(z)≤nmaxz=...
Bernstein\u27s classical theorem states that for a polynomialPof degree at mostn, maxz=1P′(z)≤nmaxz=...
It is known that for any polynomial p of degree less or equal to n, max |z|≤1 |p′(z) | ≤ n ma
The well known Bernstein Inequallty states that if D is a disk centered at the origin with radius R ...
AbstractLet P(z) be a polynomial of degree n and P′(z) its derivative. Using a recently developed in...
Abstract. Sharp extensions of some classical polynomial inequalities of Bernstein are established fo...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
If P(z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β ∈ C with α ...
If P(z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β ∈ C with α ...
Let D be the unit disc in the complex plane C and ‖ p ‖: = max z∈∂D | p(z) |, where p(z):= ∑n k=0 a...
Let D denote the unit disc of the complex plane and Pn the class of polynomials of degree at most n ...
Abstract. Let D be the unit disk in the complex plane C and ‖p ‖: = max z∈∂D |p(z)|, where p(z) = ∑n...
AbstractLet pn(z) = an Πv = 1n (z − zv), an ≠ 0 be a polynomial of degree n and let ∥pn∥ = max¦z¦ = ...
AbstractBernstein's classical theorem states that for a polynomialPof degree at mostn, max|z|=1|P′(z...
AbstractLet D be the unit disk in the complex plane C. We prove that for any polynomial p of degree ...
Bernstein\u27s classical theorem states that for a polynomialPof degree at mostn, maxz=1P′(z)≤nmaxz=...
Bernstein\u27s classical theorem states that for a polynomialPof degree at mostn, maxz=1P′(z)≤nmaxz=...
It is known that for any polynomial p of degree less or equal to n, max |z|≤1 |p′(z) | ≤ n ma
The well known Bernstein Inequallty states that if D is a disk centered at the origin with radius R ...
AbstractLet P(z) be a polynomial of degree n and P′(z) its derivative. Using a recently developed in...
Abstract. Sharp extensions of some classical polynomial inequalities of Bernstein are established fo...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
If P(z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β ∈ C with α ...
If P(z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β ∈ C with α ...