Distribution of the logarithmic derivative of a rational function on the line
type: Item
instance of: scholarly article
title: Distribution of the logarithmic derivative of a rational function on the line
zbMATH Open document ID: 1488.26046
author: N. E. Zubov
published in: Acta Mathematica Hungarica
publication date: 2021-09-22T00:00:00Z
Mathematics Subject Classification ID: 26C15
Mathematics Subject Classification ID: 41A20
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 42A50
zbMATH DE Number: 7399070
zbMATH Keywords: logarithmic derivative of a rational function
zbMATH Keywords: Kolmogorov inequality for the Hilbert transform
zbMATH Keywords: uniform approximation on the line
zbMATH Keywords: Lipschitz condition
MaRDI profile type: Publication
full work available at URL: s10474-020-01102-w
OpenAlex ID: W3106787251
cites work: Cauchy transforms of point masses: the logarithmic derivative of polynomials
cites work: Q4150145
cites work: Rational approximation with varying weights I
cites work: On the Weak Type (1, 1) Inequality for Conjugate Functions
cites work: Q5737184
cites work: Q5723325
cites work: DEPENDENCE OF THE DIFFERENTIABILITY OF FUNCTIONS OF SEVERAL VARIABLES ON THEIR RATE OF APPROXIMATION BY RATIONAL FUNCTIONS
cites work: Turán-type reverse Markov inequalities for polynomials with restricted zeros
cites work: Über Starke Approximation mit Hilfe Einer Klasse von Interpolationspolynomen
cites work: Q3280240
cites work: ON SOME METRIC PROPERTIES OF THE BOUNDARY VALUES OF FUNCTIONS THAT ARE ANALYTIC IN A HALF-PLANE
cites work: Lower bounds for the modulus of the logarithmic derivative of a polynomial
cites work: Q3630293
cites work: Metric property of a real polynomial
cites work: Reverse Markov inequality on the unit interval for polynomials whose zeros lie in the upper unit half-disk
cites work: Q3874458
cites work: The Distribution of the Logarithmic Derivative of a Polynomial
cites work: Uniform rational approximation of functions with first derivative in the real Hardy space Re \(H^ 1\)
cites work: On the best constants in the weak type inequalities for re-expansion operator and Hilbert transform
cites work: Q5864571
cites work: TCHEBYCHEFF RATIONAL APPROXIMATION IN THE DISK, ON THE CIRCLE, AND ON A CLOSED INTERVAL
cites work: Summation rational operators of the Jackson type.
cites work: The properties of functions and approximation by summation rational operators on the real axis
cites work: ON AN ESTIMATE FOR THE SMALLNESS OF SETS OF POINTS OF NONDIFFERENTIABILITY OF FUNCTIONS AS RELATED TO THE DEGREE OF APPROXIMATION BY RATIONAL FUNCTIONS
cites work: Q5640160
DOI: 10.1007/S10474-020-01102-W
description: scientific article; zbMATH DE number 7399070