APPROXIMATING THE FINITE HILBERT TRANSFORM VIA OSTROWSKI TYPE INEQUALITIES FOR ABSOLUTELY CONTINUOUS FUNCTIONS

DOI10.4134/BKMS.2002.39.4.543zbMath1016.26014OpenAlexW1497315238MaRDI QIDQ4792601

Sever Silvestru Dragomir

Publication date: 2 June 2003

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/bkms.2002.39.4.543

zbMATH Keywords

Hilbert transformOstrowski inequalityCauchy principal value integrals

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Inequalities for sums, series and integrals (26D15) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (6)

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 ⋮ Approximating the finite Hilbert transform via some companions of Ostrowski's inequalities ⋮ Approximating the finite Hilbert transform for absolutely continuous mappings and applications in numerical integration ⋮ A note on approximating finite Hilbert transform and quadrature formula

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