Access the full text.
Sign up today, get DeepDyve free for 14 days.
St Ruscheweyh, K-J Wirths (1985)
On an extremal problem for bounded polynomialsApprox. Theory Appl., 3
J. Jenkins, Kôtaro Oikawa (1971)
On results of Ahlfors and HaymanIllinois Journal of Mathematics, 15
C. Pommerenke (1992)
Boundary Behaviour of Conformal Maps
S. Ruscheweyh, R. Varga (1986)
On the minimum moduli of normalized polynomials with two prescribed valuesConstructive Approximation, 2
J. Walsh (1935)
Interpolation and Approximation by Rational Functions in the Complex Domain
M. Lachance, E. Saff, R. Varga (1979)
Inequalities for polynomials with a prescribed zeroMathematische Zeitschrift, 168
V K Dzjadyk (1977)
Introduction to the Theory of Uniform Approximation of Functions by Polynomials
C. Pommerenke (1972)
Problems in Complex Function TheoryBulletin of The London Mathematical Society, 4
V. Andrievskii (2003)
The maximal range problem for a quasidiskJ. Approx. Theory, 123
V. Andrievskii (2003)
On Belyi's lemmaEast Journal on Approximations, 9
V. Andrievskii, V. Belyi, Vladislav Dzi︠a︡dyk (1995)
Conformal invariants in constructive theory of functions of complex variable
I. Milovanovic (1974)
An extremal problem for polynomials with a prescribed zero, 97
V. Andrievskii, H. Blatt (2001)
Discrepancy of Signed Measures and Polynomial Approximation
Q. Rahman, G. Schmeisser (1974)
Some inequalities for polynomials with a prescribed zeroTransactions of the American Mathematical Society, 193
R. Nevanlinna (1936)
Eindeutige Analytische FunktionenThe Mathematical Gazette, 21
Olli Lehto, K. Virtanen (1973)
Quasiconformal mappings in the plane
L. Ahlfors (1966)
Lectures on quasiconformal mappings
Let G ∈ ℂ be a Jordan domain and P a polynomial of degree at most n, satisfying ¦P(z)¦ ≤1 for z ∈ G and P(z(in1)) = 0, where z 1 ∈ ∂G. If G is bounded by a quasiconformal curve we asymptotically estimate ¦P(z 0)¦, where z 0 ∈ G. In case z 1 is on a sufficiently smooth portion of ∂G, our results correspond to the previous ones by Halász for the special case G = D, the unit disk. We also obtain complete results in case z 1 corresponds to a corner of ∂G.
Computational Methods and Function Theory – Springer Journals
Published: Jul 25, 2009
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.