Sharp error bounds of a quadrature rule with one multiple node for the finite Hilbert transform in some classes of continuous differentiable functions

DOI10.11650/TWJM/1500407748zbMath1079.26015OpenAlexW4237478919MaRDI QIDQ558403

Sever Silvestru Dragomir

Publication date: 5 July 2005

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500407748

zbMATH Keywords

inequalitiesquadrature formulaCauchy principal value integralfinite Hilbert transformmultiple node

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55)

Related Items (4)

Approximating the finite Hilbert transform via a companion of Ostrowski's inequality for function of bounded variation and applications ⋮ Inequalities for a generalized finite Hilbert transform of convex functions ⋮ Generalized Finite Hilbert Transform and Some Basic Inequalities ⋮ Inequalities and Approximations for the Finite Hilbert Transform: A Survey of Recent Results

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