ESTIMATES OF THE DISTANCES FROM THE POLES OF LOGARITHMIC DERIVATIVES OF POLYNOMIALS TO LINES AND CIRCLES
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Publication:4863170
DOI10.1070/SM1995v082n02ABEH003573zbMath0864.30003OpenAlexW2061953358MaRDI QIDQ4863170
Publication date: 25 February 1996
Published in: Russian Academy of Sciences. Sbornik Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1995v082n02abeh003573
Related Items (14)
Approximation by linear fractional transformations of simple partial fractions and their differences ⋮ A criterion for the best uniform approximation by simple partial fractions in terms of alternance. II ⋮ Chebyshev's alternance in the approximation of constants by simple partial fractions ⋮ Estimates for exponential sums. Applications ⋮ Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions ⋮ Extremal and approximative properties of simple partial fractions ⋮ Estimates of the distances to direct lines and rays from the poles of simplest fractions bounded in the norm of \(L_p\) on these sets ⋮ Least deviation of logarithmic derivatives of algebraic polynomials from zero ⋮ Sharp quadrature formulas and inequalities between various metrics for rational functions ⋮ Convergence of the imaginary parts of simplest fractions in \(L_{p}(\mathbb R)\) for \(p < 1\) ⋮ Density of derivatives of simple partial fractions in Hardy spaces in the half-plane ⋮ Gorin's problem for individual simple partial fractions ⋮ Approximation by simple partial fractions in unbounded domains ⋮ Rational approximations of Lipschitz functions from the Hardy class on the line
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