A note on approximating finite Hilbert transform and quadrature formula

DOI10.1007/s00009-019-1395-xzbMath1428.41011OpenAlexW2969602769WikidataQ127371111 ScholiaQ127371111MaRDI QIDQ2325714

Fuat Usta

Publication date: 27 September 2019

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

Full work available at URL: https://doi.org/10.1007/s00009-019-1395-x

zbMATH Keywords

finite Hilbert transformabsolutely continuous mappingsCPV (Cauchy principal value)

Mathematics Subject Classification ID

Spline approximation (41A15) Approximate quadratures (41A55)

Related Items (1)

Approximating the finite Mellin and Sumudu transforms utilizing wavelet transform

Cites Work

• Approximating the finite Hilbert transform via a companion of Ostrowski's inequality for function of bounded variation and applications
• Approximating the finite Hilbert transform via some companions of Ostrowski's inequalities
• A quadrature rule for the finite Hilbert transform via trapezoid type inequalities
• Approximating the finite Hilbert transform via trapezoid type inequalities
• Approximating the finite Hilbert transform for absolutely continuous mappings and applications in numerical integration
• APPROXIMATING THE FINITE HILBERT TRANSFORM VIA OSTROWSKI TYPE INEQUALITIES FOR ABSOLUTELY CONTINUOUS FUNCTIONS
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