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

DOI10.1134/S0001434607110168zbMath1163.26005MaRDI QIDQ941906

P. A. Borodin

Publication date: 2 September 2008

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hardy spacerational functionHölder's inequalityalgebraic polynomialsimplest fractionEuler beta function\(L_p\)-normlogarithmic derivative

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10)

Related Items (4)

Approximation by linear fractional transformations of simple partial fractions and their differences ⋮ Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions ⋮ Extremal and approximative properties of simple partial fractions ⋮ Density of quantized approximations

Cites Work

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• On interpolation in the classes \(E^p\)
• Approximation by simple fractions
• ESTIMATES OF THE DISTANCES FROM THE POLES OF LOGARITHMIC DERIVATIVES OF POLYNOMIALS TO LINES AND CIRCLES
• Estimates of derivatives of simplest fractions and other questions

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