Approximation by bounded analytic functions
J. L. Walsh
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Displaying similar documents to “Approximation by polynomials in the complex domain”
Approximation by bounded analytic functions
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S.G. Gal (1988)
Publications de l'Institut Mathématique
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V. M. Fedorov (1989)
Banach Center Publications
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An inequality for the maximum of trigonometric polynomials
P. Erdös (1962)
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R. B. Saxena (1963)
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On a Problem of Best Uniform Approximation and a Polynomial Inequality of Visser
M. A. Qazi (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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In this paper, a generalization of a result on the uniform best approximation of α cos nx + β sin nx by trigonometric polynomials of degree less than n is considered and its relationship with a well-known polynomial inequality of C. Visser is indicated.
Approximation to functions by trigonometric polynomials
A. Offord (1948)
Fundamenta Mathematicae
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On discrepancy theorems with applications to approximation theory
Hans-Peter Blatt (1995)
Banach Center Publications
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We give an overview on discrepancy theorems based on bounds of the logarithmic potential of signed measures. The results generalize well-known results of P. Erdős and P. Turán on the distribution of zeros of polynomials. Besides of new estimates for the zeros of orthogonal polynomials, we give further applications to approximation theory concerning the distribution of Fekete points, extreme points and zeros of polynomials of best uniform approximation.
Some orthogonalities in approximation theory.
Zhuk, A.S., Zhuk, V.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Approximation of continuous functions by monotone sequences of generalized polynomials with restricted coefficients.
Gal, S.G. (1992)
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Nearly Coconvex Approximation
Leviatan, D., Shevchuk, I. (2002)
Serdica Mathematical Journal
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* Part of this work was done while the second author was on a visit at Tel Aviv University in March 2001 Let f ∈ C[−1, 1] change its convexity finitely many times, in the interval. We are interested in estimating the degree of approximation of f by polynomials, and by piecewise polynomials, which are nearly coconvex with it, namely, polynomials and piecewise polynomials that preserve the convexity of f except perhaps in some small neighborhoods of the points where f changes...