AbstractLet D be the unit disk in the complex plane C. We prove that for any polynomial p of degree at most nmaxz∈∂Dp(z)-p(z¯)z-z¯⩽nmax0⩽j⩽npeijπ/n+pe-ijπ/n2,where ∂D denotes the boundary of D. We show how this result is related to classical inequalities of Bernstein and Markov and to more recent results due to Duffin and Schaeffer
AbstractBernstein's classical theorem states that for a polynomialPof degree at mostn, max|z|=1|P′(z...
AbstractLet pn(z) = an Πv = 1n (z − zv), an ≠ 0 be a polynomial of degree n and let ∥pn∥ = max¦z¦ = ...
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 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...
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...
Inequalities of Bernstein and Markov have been the starting point of a considerable literature in ap...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
The well known Bernstein Inequallty states that if D is a disk centered at the origin with radius R ...
Let D denote the unit disc of the complex plane and Pn the class of polynomials of degree at most n ...
AbstractPolynomials of degree at mostnwhich are real on the real axis and do not vanish in the open ...
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=...
Inequalities of Markov and Bernstein were the starting point of considerable literature in polynomia...
AbstractFor a polynomial Pn of total degree n and a bounded convex set S it will be shown that for 0...
AbstractBernstein's classical theorem states that for a polynomialPof degree at mostn, max|z|=1|P′(z...
AbstractLet pn(z) = an Πv = 1n (z − zv), an ≠ 0 be a polynomial of degree n and let ∥pn∥ = max¦z¦ = ...
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 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...
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...
Inequalities of Bernstein and Markov have been the starting point of a considerable literature in ap...
In an answer to a question raised by chemist Mendeleev, A. Markov proved that if is a real polynom...
The well known Bernstein Inequallty states that if D is a disk centered at the origin with radius R ...
Let D denote the unit disc of the complex plane and Pn the class of polynomials of degree at most n ...
AbstractPolynomials of degree at mostnwhich are real on the real axis and do not vanish in the open ...
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=...
Inequalities of Markov and Bernstein were the starting point of considerable literature in polynomia...
AbstractFor a polynomial Pn of total degree n and a bounded convex set S it will be shown that for 0...
AbstractBernstein's classical theorem states that for a polynomialPof degree at mostn, max|z|=1|P′(z...
AbstractLet pn(z) = an Πv = 1n (z − zv), an ≠ 0 be a polynomial of degree n and let ∥pn∥ = max¦z¦ = ...
If P(z) is a polynomial of degree n, having no zeros in the unit disc, then for all α, β ∈ C with α ...
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