Computation of the Riesz-Herglotz transform and its application to quadrature formulas over the unit circle

DOI10.1007/s002110100359zbMath1013.65020OpenAlexW4242225192MaRDI QIDQ1849715

Juan Carlos Santos-León

Publication date: 1 December 2002

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110100359

zbMATH Keywords

numerical experimentsanalytic functionerror boundunit circlequadrature formulaSzegő formulaTaylor polynomialsGauss formulasRiesz-Herglotz transform

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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