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A necessary condition for the convergence of simple partial fractions in \( L_p(\mathbb R)\)

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Publication:1938640
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DOI10.1134/S0001434612070164zbMath1293.30075MaRDI QIDQ1938640

Yanyan Li

Publication date: 22 February 2013

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


zbMATH Keywords

Hilbert transformapproximationsimple partial fractions


Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20)


Related Items (5)

On convergence of series of simple partial fractions in \(L_p(\mathbb{R})\) ⋮ Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions ⋮ Extremal and approximative properties of simple partial fractions ⋮ Criteria for the best approximation by simple partial fractions on semi-axis and axis ⋮ Sharp quadrature formulas and inequalities between various metrics for rational functions







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