Estimates for \(L_p\)-norms of simple partial fractions

DOI10.3103/S1066369X14060024zbMath1342.30023MaRDI QIDQ2262897

A. E. Dodonov, Vladimir I. Danchenko

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

simple partial fractions\(L_p\)-normsestimates for derivatives of simple partial fractions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (6)

Extremal properties of logarithmic derivatives of polynomials ⋮ Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions ⋮ Extremal and approximative properties of simple partial fractions ⋮ Least deviation of logarithmic derivatives of algebraic polynomials from zero ⋮ Sharp quadrature formulas and inequalities between various metrics for rational functions ⋮ Rational approximations of Lipschitz functions from the Hardy class on the line

Cites Work

• Integral bounds for simple partial fractions
• Convergence of simple partial fractions in $ L_p(\mathbb R)$
• Convergence of series of simple partial fractions in $ L_p(\mathbb R)$
• Approximation by simple partial fractions and the Hilbert transform
• Estimates of derivatives of simplest fractions and other questions
• Inequalities for the Logarithmic Derivatives of a Polynomial

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